Black Hole Entropy from Bondi-Metzner-Sachs Symmetry at the Horizon

Carlip, S.

doi:10.1103/PhysRevLett.120.101301

Title: Black Hole Entropy from Bondi-Metzner-Sachs Symmetry at the Horizon

Abstract

Near the horizon, the obvious symmetries of a black hole spacetime—the horizon-preserving diffeomorphisms—are enhanced to a larger symmetry group with a BMS3 algebra. Using dimensional reduction and covariant phase space techniques, I explore this augmented symmetry, and demonstrate that it is strong enough to determine the black hole entropy.

Authors:

Carlip, S. ^[1]

Univ. of California, Davis, CA (United States)

Publication Date:: Fri Mar 09 00:00:00 EST 2018

Research Org.:: Univ. of California, Davis, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1595482

Alternate Identifier(s):: OSTI ID: 1425234

Grant/Contract Number:: FG02-91ER40674

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 120; Journal Issue: 10; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; black holes; quantum gravity; entropy

Citation Formats


                    Carlip, S. Black Hole Entropy from Bondi-Metzner-Sachs Symmetry at the Horizon.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevLett.120.101301.

Copy to clipboard


                    Carlip, S. Black Hole Entropy from Bondi-Metzner-Sachs Symmetry at the Horizon.  United States.  https://doi.org/10.1103/PhysRevLett.120.101301

Copy to clipboard


                    Carlip, S. Fri .  
"Black Hole Entropy from Bondi-Metzner-Sachs Symmetry at the Horizon".  United States.  https://doi.org/10.1103/PhysRevLett.120.101301.  https://www.osti.gov/servlets/purl/1595482.

Copy to clipboard


                    
@article{osti_1595482,

  title        = {Black Hole Entropy from Bondi-Metzner-Sachs Symmetry at the Horizon},

  author       = {Carlip, S.},

  abstractNote = {Near the horizon, the obvious symmetries of a black hole spacetime—the horizon-preserving diffeomorphisms—are enhanced to a larger symmetry group with a BMS3 algebra. Using dimensional reduction and covariant phase space techniques, I explore this augmented symmetry, and demonstrate that it is strong enough to determine the black hole entropy.},

  doi          = {10.1103/PhysRevLett.120.101301},

  journal      = {Physical Review Letters},

  number       = 10,

  volume       = 120,

  place        = {United States},

  year         = {Fri Mar 09 00:00:00 EST 2018},

  month        = {Fri Mar 09 00:00:00 EST 2018}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/PhysRevLett.120.101301

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 42 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Rindler/Contracted-CFT correspondence
journal, June 2014

Fareghbal, Reza; Naseh, Ali
Journal of High Energy Physics, Vol. 2014, Issue 6
DOI: 10.1007/JHEP06(2014)134

Conformal invariance, the central charge, and universal finite-size amplitudes at criticality
journal, February 1986

Blöte, H. W. J.; Cardy, John L.; Nightingale, M. P.
Physical Review Letters, Vol. 56, Issue 7
DOI: 10.1103/PhysRevLett.56.742

Local symmetries and constraints
journal, March 1990

Lee, Joohan; Wald, Robert M.
Journal of Mathematical Physics, Vol. 31, Issue 3
DOI: 10.1063/1.528801

Two-dimensional dilaton gravity coupled to an Abelian gauge field
journal, September 1995

Louis-Martinez, D.; Kunstatter, G.
Physical Review D, Vol. 52, Issue 6
DOI: 10.1103/PhysRevD.52.3494

The off-shell black hole
journal, July 1995

Carlip, Steven; Teitelboim, Claudio
Classical and Quantum Gravity, Vol. 12, Issue 7
DOI: 10.1088/0264-9381/12/7/011

Black-hole entropy and thermodynamics from symmetries
journal, July 2002

Silva, Sebasti$aacute$n
Classical and Quantum Gravity, Vol. 19, Issue 15
DOI: 10.1088/0264-9381/19/15/306

Mathematical Methods of Classical Mechanics
book, January 1978

Arnold, V. I.
Graduate Texts in Mathematics
DOI: 10.1007/978-1-4757-1693-1

Superrotation charge and supertranslation hair on black holes
journal, May 2017

Hawking, Stephen W.; Perry, Malcolm J.; Strominger, Andrew
Journal of High Energy Physics, Vol. 2017, Issue 5
DOI: 10.1007/JHEP05(2017)161

Covariant theory of asymptotic symmetries, conservation laws and central charges
journal, June 2002

Barnich, Glenn; Brandt, Friedemann
Nuclear Physics B, Vol. 633, Issue 1-2
DOI: 10.1016/S0550-3213(02)00251-1

Entropy from conformal field theory at Killing horizons
journal, September 1999

Carlip, S.
Classical and Quantum Gravity, Vol. 16, Issue 10
DOI: 10.1088/0264-9381/16/10/322

Black Hole Entropy from Conformal Field Theory in Any Dimension
journal, April 1999

Carlip, S.
Physical Review Letters, Vol. 82, Issue 14
DOI: 10.1103/PhysRevLett.82.2828

Relationship between Hawking Radiation and Gravitational Anomalies
journal, June 2005

Robinson, Sean P.; Wilczek, Frank
Physical Review Letters, Vol. 95, Issue 1
DOI: 10.1103/PhysRevLett.95.011303

Noether current from the surface term of gravitational action, Virasoro algebra, and horizon entropy
journal, November 2012

Majhi, Bibhas Ranjan; Padmanabhan, T.
Physical Review D, Vol. 86, Issue 10
DOI: 10.1103/PhysRevD.86.101501

Holography of 3D Flat Cosmological Horizons
journal, April 2013

Bagchi, Arjun; Detournay, Stéphane; Fareghbal, Reza
Physical Review Letters, Vol. 110, Issue 14
DOI: 10.1103/PhysRevLett.110.141302

Asymptotic symmetries on Killing horizons
journal, November 2001

Koga, Jun-ichirou
Physical Review D, Vol. 64, Issue 12
DOI: 10.1103/PhysRevD.64.124012

What we don't know about BTZ black hole entropy
journal, November 1998

Carlip, S.
Classical and Quantum Gravity, Vol. 15, Issue 11
DOI: 10.1088/0264-9381/15/11/020

Entropy of 2D black holes from counting microstates
journal, March 1999

Cadoni, Mariano; Mignemi, Salvatore
Physical Review D, Vol. 59, Issue 8
DOI: 10.1103/PhysRevD.59.081501

Supertranslations and Superrotations at the Black Hole Horizon
journal, March 2016

Donnay, Laura; Giribet, Gaston; González, Hernán A.
Physical Review Letters, Vol. 116, Issue 9
DOI: 10.1103/PhysRevLett.116.091101

Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories
journal, October 2010

Bagchi, Arjun
Physical Review Letters, Vol. 105, Issue 17
DOI: 10.1103/PhysRevLett.105.171601

Near-Horizon Conformal Symmetry and Black Hole Entropy
journal, May 2002

Carlip, S.
Physical Review Letters, Vol. 88, Issue 24
DOI: 10.1103/PhysRevLett.88.241301

Black Hole Thermodynamics from Euclidean Horizon Constraints
journal, July 2007

Carlip, S.
Physical Review Letters, Vol. 99, Issue 2
DOI: 10.1103/PhysRevLett.99.021301

Soft hairy horizons in three spacetime dimensions
journal, May 2017

Afshar, Hamid; Grumiller, Daniel; Merbis, Wout
Physical Review D, Vol. 95, Issue 10
DOI: 10.1103/PhysRevD.95.106005

Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices
journal, May 2012

Wall, Aron C.
Physical Review D, Vol. 85, Issue 10
DOI: 10.1103/PhysRevD.85.104049

Black Holes and Entropy
journal, April 1973

Bekenstein, Jacob D.
Physical Review D, Vol. 7, Issue 8
DOI: 10.1103/PhysRevD.7.2333

Conformal description of horizon's states
journal, May 1999

Solodukhin, Sergey N.
Physics Letters B, Vol. 454, Issue 3-4
DOI: 10.1016/S0370-2693(99)00398-6

Isolated horizons: a generalization of black hole mechanics
journal, January 1999

Ashtekar, Abhay; Beetle, Christopher; Fairhurst, Stephen
Classical and Quantum Gravity, Vol. 16, Issue 2
DOI: 10.1088/0264-9381/16/2/027

Four-Dimensional Entropy from Three-Dimensional Gravity
journal, August 2015

Carlip, S.
Physical Review Letters, Vol. 115, Issue 7
DOI: 10.1103/PhysRevLett.115.071302

CFT and black hole entropy in induced gravity
journal, March 2003

Frolov, Valeri; Fursaev, Dmitri; Zelnikov, Andrei
Journal of High Energy Physics, Vol. 2003, Issue 03
DOI: 10.1088/1126-6708/2003/03/038

Quantization of ${AdS}_{3}$ Black Holes in External Fields: Semiclassical Results from Pure Gravity
journal, September 1998

Emparan, Roberto; Sachs, Ivo
Physical Review Letters, Vol. 81, Issue 12
DOI: 10.1103/PhysRevLett.81.2408

Entropy of three-dimensional black holes in string theory
journal, April 1998

Birmingham, Danny; Sachs, Ivo; Sen, Siddhartha
Physics Letters B, Vol. 424, Issue 3-4
DOI: 10.1016/S0370-2693(98)00236-6

Effective Conformal Descriptions of Black Hole Entropy
journal, July 2011

Carlip, Steven
Entropy, Vol. 13, Issue 7
DOI: 10.3390/e13071355

Microscopic origin of the Bekenstein-Hawking entropy
journal, June 1996

Strominger, Andrew; Vafa, Cumrun
Physics Letters B, Vol. 379, Issue 1-4
DOI: 10.1016/0370-2693(96)00345-0

Black hole entropy calculations based on symmetries
journal, April 2001

Dreyer, Olaf; Ghosh, Amit; Wisniewski, Jacek
Classical and Quantum Gravity, Vol. 18, Issue 10
DOI: 10.1088/0264-9381/18/10/308

Black hole entropy from near-horizon microstates
journal, February 1998

Strominger, Andrew
Journal of High Energy Physics, Vol. 1998, Issue 02
DOI: 10.1088/1126-6708/1998/02/009

Conformal Field Theory
book, January 1997

Di Francesco, Philippe; Mathieu, Pierre; Sénéchal, David
Graduate Texts in Contemporary Physics
DOI: 10.1007/978-1-4612-2256-9

Erratum: Extremal and nonextremal Kerr/CFT correspondences
journal, January 2012

Carlip, S.
Journal of High Energy Physics, Vol. 2012, Issue 1
DOI: 10.1007/JHEP01(2012)008

Extremal and nonextremal Kerr/CFT correspondences
journal, April 2011

Carlip, S.
Journal of High Energy Physics, Vol. 2011, Issue 4
DOI: 10.1007/JHEP04(2011)076

Dilaton gravity in two dimensions
journal, October 2002

Grumiller, D.; Kummer, W.; Vassilevich, D. V.
Physics Reports, Vol. 369, Issue 4
DOI: 10.1016/S0370-1573(02)00267-3

Kaluza–Klein theory, AdS/CFT correspondence and black hole entropy
journal, January 2002

Izquierdo, J. M.; Navarro-Salas, J.; Navarro, P.
Classical and Quantum Gravity, Vol. 19, Issue 3
DOI: 10.1088/0264-9381/19/3/310

Entropy from near-horizon geometries of Killing horizons
journal, January 2014

Dreyer, Olaf; Ghosh, Amit; Ghosh, Avirup
Physical Review D, Vol. 89, Issue 2
DOI: 10.1103/PhysRevD.89.024035

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
journal, June 1986

Brown, J. D.; Henneaux, Marc
Communications in Mathematical Physics, Vol. 104, Issue 2
DOI: 10.1007/BF01211590

Mathematical methods of classical mechanics
journal, March 1990

Rota, Gian-Carlo
Advances in Mathematics, Vol. 80, Issue 1
DOI: 10.1016/0001-8708(90)90022-f

Mathematical methods of classical mechanics
journal, July 1983

Rota, Gian-Carlo
Advances in Mathematics, Vol. 49, Issue 1
DOI: 10.1016/0001-8708(83)90014-2

Mathematical Methods of Classical Mechanics
book, January 1989

Arnold, V. I.
Graduate Texts in Mathematics
DOI: 10.1007/978-1-4757-2063-1

Black Holes and Entropy
book, September 2019

Bekenstein, Jacob D.
Jacob Bekenstein
DOI: 10.1142/9789811203961_0023

Extremal and nonextremal Kerr/CFT correspondences
text, January 2011

Carlip, S.
arXiv
DOI: 10.48550/arxiv.1101.5136

Effective Conformal Descriptions of Black Hole Entropy
text, January 2011

Carlip, Steven
arXiv
DOI: 10.48550/arxiv.1107.2678

Holography of 3d Flat Cosmological Horizons
text, January 2012

Bagchi, Arjun; Detournay, Stephane; Fareghbal, Reza
arXiv
DOI: 10.48550/arxiv.1208.4372

Entropy from near-horizon geometries of Killing horizons
text, January 2013

Dreyer, Olaf; Ghosh, Amit; Ghosh, Avirup
arXiv
DOI: 10.48550/arxiv.1306.5063

Rindler/Contracted-CFT Correspondence
text, January 2014

Fareghbal, Reza; Naseh, Ali
arXiv
DOI: 10.48550/arxiv.1404.3937

Four-Dimensional Entropy from Three-Dimensional Gravity
text, January 2015

Carlip, S.
arXiv
DOI: 10.48550/arxiv.1503.02981

Supertranslations and Superrotations at the Black Hole Horizon
text, January 2015

Donnay, Laura; Giribet, Gaston; Gonzalez, Hernan A.
arXiv
DOI: 10.48550/arxiv.1511.08687

Superrotation Charge and Supertranslation Hair on Black Holes
text, January 2016

Hawking, Stephen W.; Perry, Malcolm J.; Strominger, Andrew
arXiv
DOI: 10.48550/arxiv.1611.09175

Soft hairy horizons in three spacetime dimensions
text, January 2016

Afshar, Hamid; Grumiller, Daniel; Merbis, Wout
arXiv
DOI: 10.48550/arxiv.1611.09783

Asymptotic symmetries on Killing horizons
text, January 2001

Koga, Jun-ichirou
arXiv
DOI: 10.48550/arxiv.gr-qc/0107096

Relationship between Hawking Radiation and Gravitational Anomalies
text, January 2005

Robinson, Sean P.; Wilczek, Frank
arXiv
DOI: 10.48550/arxiv.gr-qc/0502074

The Off-Shell Black Hole
text, January 1993

Carlip, S.; Teitelboim, C.
arXiv
DOI: 10.48550/arxiv.gr-qc/9312002

Entropy from Conformal Field Theory at Killing Horizons
text, January 1999

Carlip, S.
arXiv
DOI: 10.48550/arxiv.gr-qc/9906126

Black hole entropy calculations based on symmetries
text, January 2001

Dreyer, Olaf; Ghosh, Amit; Wisniewski, Jacek
arXiv
DOI: 10.48550/arxiv.hep-th/0101117

Black Hole Entropy from Near-Horizon Microstates
text, January 1997

Strominger, Andrew
arXiv
DOI: 10.48550/arxiv.hep-th/9712251

Entropy of Three-Dimensional Black Holes in String Theory
text, January 1998

Birmingham, Danny; Sachs, Ivo; Sen, Siddhartha
arXiv
DOI: 10.48550/arxiv.hep-th/9801019

Quantization of AdS_3 Black Holes in External Fields
text, January 1998

Emparan, Roberto; Sachs, Ivo
arXiv
DOI: 10.48550/arxiv.hep-th/9806122

Entropy of 2D black holes from counting microstates
text, January 1998

Cadoni, Mariano; Mignemi, Salvatore
arXiv
DOI: 10.48550/arxiv.hep-th/9810251

Black Hole Entropy from Conformal Field Theory in Any Dimension
text, January 1998

Carlip, S.
arXiv
DOI: 10.48550/arxiv.hep-th/9812013

Works referencing / citing this record:

Holographic description of boundary gravitons in (3+1) dimensions
journal, January 2019

Asante, Seth K.; Dittrich, Bianca; Haggard, Hal M.
Journal of High Energy Physics, Vol. 2019, Issue 1
DOI: 10.1007/jhep01(2019)144

Warped symmetries of the Kerr black hole
journal, January 2020

Aggarwal, Ankit; Castro, Alejandra; Detournay, Stéphane
Journal of High Energy Physics, Vol. 2020, Issue 1
DOI: 10.1007/jhep01(2020)016

Asymptotic symmetries of three-dimensional black strings
journal, June 2019

Detournay, Stéphane; Petropoulos, P. Marios; Zwikel, Céline
Journal of High Energy Physics, Vol. 2019, Issue 6
DOI: 10.1007/jhep06(2019)131

A fuzzy bipolar celestial sphere
journal, July 2019

Alessio, Francesco; Arzano, Michele
Journal of High Energy Physics, Vol. 2019, Issue 7
DOI: 10.1007/jhep07(2019)028

Near horizon dynamics of three dimensional black holes
journal, January 2020

Grumiller, Daniel; Merbis, Wout
SciPost Physics, Vol. 8, Issue 1
DOI: 10.21468/scipostphys.8.1.010

Black hole entropy and soft hair
text, January 2018

Haco, Sasha; Hawking, Stephen W.; Perry, Malcolm J.
Apollo - University of Cambridge Repository
DOI: 10.17863/cam.47103

Black Hole Entropy and Soft Hair
text, January 2018

Haco, Sasha; Hawking, Stephen W.; Perry, Malcolm J.
arXiv
DOI: 10.48550/arxiv.1810.01847

Holographic description of boundary gravitons in (3+1) dimensions
text, January 2018

Asante, Seth K.; Dittrich, Bianca; Haggard, Hal M.
arXiv
DOI: 10.48550/arxiv.1811.11744

Asymptotic Symmetries of Three-Dimensional Black Strings
preprint, January 2018

Detournay, Stéphane; Petropoulos, P. Marios; Zwikel, Céline
arXiv
DOI: 10.48550/arxiv.1812.08764

A fuzzy bipolar celestial sphere
text, January 2019

Alessio, Francesco; Arzano, Michele
arXiv
DOI: 10.48550/arxiv.1901.01167

Near horizon dynamics of three dimensional black holes
text, January 2019

Grumiller, Daniel; Merbis, Wout
arXiv
DOI: 10.48550/arxiv.1906.10694

Spacetime structure near generic horizons and soft hair
text, January 2019

Grumiller, Daniel; Pérez, Alfredo; Sheikh-Jabbari, M. M.
arXiv
DOI: 10.48550/arxiv.1908.09833

Similar Records in DOE PAGES and OSTI.GOV collections:

Near-horizon Bondi-Metzner-Sachs symmetry, dimensional reduction, and black hole entropy

Journal Article Carlip, S. - Physical Review. D.

In an earlier short paper [Phys.\ Rev.\ Lett.\ 120 (2018) 101301, arXiv:1702.04439], I argued that the horizon-preserving diffeomorphisms of a generic black hole are enhanced to a larger BMS3 symmetry, which is powerful enough to determine the Bekenstein-Hawking entropy. Here I provide details and extensions of that argument, including a loosening of horizon boundary conditions and a more thorough treatment of dimensional reduction and meaning of a "near-horizon symmetry."
Cited by 23
https://doi.org/10.1103/PhysRevD.101.046002
Black Hole Entropy from Bondi-Metzner-Sachs Symmetry at the Horizon

Journal Article Carlip, S. - Physical Review Letters

Not provided.
https://doi.org/10.1103/physrevlett.120.101301
Conformal entropy from horizon states: Solodukhin's method for spherical, toroidal, and hyperbolic black holes in D-dimensional anti-de Sitter spacetimes

Journal Article Dias, Goncalo A. S. ; Lemos, Jose P. S. - Physical Review. D, Particles Fields

A calculation of the entropy of static, electrically charged, black holes with spherical, toroidal, and hyperbolic-compact and oriented horizons, in D spacetime dimensions, is performed. These black holes live in an anti-de Sitter spacetime, i.e., a spacetime with negative cosmological constant. To find the entropy, the approach developed by Solodukhin is followed. The method consists in a redefinition of the variables in the metric, by considering the radial coordinate as a scalar field. Then one performs a 2+(D-2) dimensional reduction, where the (D-2) dimensions are in the angular coordinates, obtaining a 2-dimensional effective scalar field theory. This theory is amore »« less
https://doi.org/10.1103/PHYSREVD.74.044024
Black hole entropy and soft hair

Journal Article Haco, Sasha ; Hawking, Stephen W. ; Perry, Malcolm J. ; ... - Journal of High Energy Physics (Online)

A set of infinitesimal Virasoro _L Ⓧ Virasoro _R diffeomorphisms are presented which act non-trivially on the horizon of a generic Kerr black hole with spin J. The covariant phase space formalism provides a formula for the Virasoro charges as surface integrals on the horizon. Integrability and associativity of the charge algebra are shown to require the inclusion of ‘Wald-Zoupas’ counterterms. A counterterm satisfying the known consistency requirement is constructed and yields central charges c_L = c_R = 12J. Assuming the existence of a quantum Hilbert space on which these charges generate the symmetries, as well as the applicability ofmore »« less
Cited by 100
https://doi.org/10.1007/JHEP12(2018)098

Full Text Available
Entropy bound of horizons for accelerating, rotating and charged Plebanski–Demianski black hole

Journal Article Debnath, Ujjal - Annals of Physics

We first review the accelerating, rotating and charged Plebanski–Demianski (PD) black hole, which includes the Kerr–Newman rotating black hole and the Taub-NUT spacetime. The main feature of this black hole is that it has 4 horizons like event horizon, Cauchy horizon and two accelerating horizons. In the non-extremal case, the surface area, entropy, surface gravity, temperature, angular velocity, Komar energy and irreducible mass on the event horizon and Cauchy horizon are presented for PD black hole. The entropy product, temperature product, Komar energy product and irreducible mass product have been found for event horizon and Cauchy horizon. Also their sumsmore »« less
https://doi.org/10.1016/J.AOP.2016.06.014

Similar Records

Title: Black Hole Entropy from Bondi-Metzner-Sachs Symmetry at the Horizon

Abstract

Citation Formats

Rindler/Contracted-CFT correspondence journal, June 2014

Conformal invariance, the central charge, and universal finite-size amplitudes at criticality journal, February 1986

Local symmetries and constraints journal, March 1990

Two-dimensional dilaton gravity coupled to an Abelian gauge field journal, September 1995

The off-shell black hole journal, July 1995

Black-hole entropy and thermodynamics from symmetries journal, July 2002

Mathematical Methods of Classical Mechanics book, January 1978

Superrotation charge and supertranslation hair on black holes journal, May 2017

Covariant theory of asymptotic symmetries, conservation laws and central charges journal, June 2002

Entropy from conformal field theory at Killing horizons journal, September 1999

Black Hole Entropy from Conformal Field Theory in Any Dimension journal, April 1999

Relationship between Hawking Radiation and Gravitational Anomalies journal, June 2005

Noether current from the surface term of gravitational action, Virasoro algebra, and horizon entropy journal, November 2012

Holography of 3D Flat Cosmological Horizons journal, April 2013

Asymptotic symmetries on Killing horizons journal, November 2001

What we don't know about BTZ black hole entropy journal, November 1998

Entropy of 2D black holes from counting microstates journal, March 1999

Supertranslations and Superrotations at the Black Hole Horizon journal, March 2016

Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories journal, October 2010

Near-Horizon Conformal Symmetry and Black Hole Entropy journal, May 2002

Black Hole Thermodynamics from Euclidean Horizon Constraints journal, July 2007

Soft hairy horizons in three spacetime dimensions journal, May 2017

Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices journal, May 2012

Black Holes and Entropy journal, April 1973

Conformal description of horizon's states journal, May 1999

Isolated horizons: a generalization of black hole mechanics journal, January 1999

Four-Dimensional Entropy from Three-Dimensional Gravity journal, August 2015

CFT and black hole entropy in induced gravity journal, March 2003

Quantization of AdS 3 Black Holes in External Fields: Semiclassical Results from Pure Gravity journal, September 1998

Entropy of three-dimensional black holes in string theory journal, April 1998

Effective Conformal Descriptions of Black Hole Entropy journal, July 2011

Microscopic origin of the Bekenstein-Hawking entropy journal, June 1996

Black hole entropy calculations based on symmetries journal, April 2001

Black hole entropy from near-horizon microstates journal, February 1998

Conformal Field Theory book, January 1997

Erratum: Extremal and nonextremal Kerr/CFT correspondences journal, January 2012

Extremal and nonextremal Kerr/CFT correspondences journal, April 2011

Dilaton gravity in two dimensions journal, October 2002

Kaluza–Klein theory, AdS/CFT correspondence and black hole entropy journal, January 2002

Entropy from near-horizon geometries of Killing horizons journal, January 2014

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity journal, June 1986

Mathematical methods of classical mechanics journal, March 1990

Mathematical methods of classical mechanics journal, July 1983

Mathematical Methods of Classical Mechanics book, January 1989

Black Holes and Entropy book, September 2019

Extremal and nonextremal Kerr/CFT correspondences text, January 2011

Effective Conformal Descriptions of Black Hole Entropy text, January 2011

Holography of 3d Flat Cosmological Horizons text, January 2012

Entropy from near-horizon geometries of Killing horizons text, January 2013

Rindler/Contracted-CFT Correspondence text, January 2014

Four-Dimensional Entropy from Three-Dimensional Gravity text, January 2015

Supertranslations and Superrotations at the Black Hole Horizon text, January 2015

Superrotation Charge and Supertranslation Hair on Black Holes text, January 2016

Soft hairy horizons in three spacetime dimensions text, January 2016

Asymptotic symmetries on Killing horizons text, January 2001

Relationship between Hawking Radiation and Gravitational Anomalies text, January 2005

The Off-Shell Black Hole text, January 1993

Entropy from Conformal Field Theory at Killing Horizons text, January 1999

Black hole entropy calculations based on symmetries text, January 2001

Black Hole Entropy from Near-Horizon Microstates text, January 1997

Entropy of Three-Dimensional Black Holes in String Theory text, January 1998

Quantization of AdS_3 Black Holes in External Fields text, January 1998

Entropy of 2D black holes from counting microstates text, January 1998

Black Hole Entropy from Conformal Field Theory in Any Dimension text, January 1998

Holographic description of boundary gravitons in (3+1) dimensions journal, January 2019

Warped symmetries of the Kerr black hole journal, January 2020

Asymptotic symmetries of three-dimensional black strings journal, June 2019

A fuzzy bipolar celestial sphere journal, July 2019

Near horizon dynamics of three dimensional black holes journal, January 2020

Black hole entropy and soft hair text, January 2018

Black Hole Entropy and Soft Hair text, January 2018

Holographic description of boundary gravitons in (3+1) dimensions text, January 2018

Asymptotic Symmetries of Three-Dimensional Black Strings preprint, January 2018

A fuzzy bipolar celestial sphere text, January 2019

Near horizon dynamics of three dimensional black holes text, January 2019

Spacetime structure near generic horizons and soft hair text, January 2019

Rindler/Contracted-CFT correspondence
journal, June 2014

Conformal invariance, the central charge, and universal finite-size amplitudes at criticality
journal, February 1986

Local symmetries and constraints
journal, March 1990

Two-dimensional dilaton gravity coupled to an Abelian gauge field
journal, September 1995

The off-shell black hole
journal, July 1995

Black-hole entropy and thermodynamics from symmetries
journal, July 2002

Mathematical Methods of Classical Mechanics
book, January 1978

Superrotation charge and supertranslation hair on black holes
journal, May 2017

Covariant theory of asymptotic symmetries, conservation laws and central charges
journal, June 2002

Entropy from conformal field theory at Killing horizons
journal, September 1999

Black Hole Entropy from Conformal Field Theory in Any Dimension
journal, April 1999

Relationship between Hawking Radiation and Gravitational Anomalies
journal, June 2005

Noether current from the surface term of gravitational action, Virasoro algebra, and horizon entropy
journal, November 2012

Holography of 3D Flat Cosmological Horizons
journal, April 2013

Asymptotic symmetries on Killing horizons
journal, November 2001

What we don't know about BTZ black hole entropy
journal, November 1998

Entropy of 2D black holes from counting microstates
journal, March 1999

Supertranslations and Superrotations at the Black Hole Horizon
journal, March 2016

Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories
journal, October 2010

Near-Horizon Conformal Symmetry and Black Hole Entropy
journal, May 2002

Black Hole Thermodynamics from Euclidean Horizon Constraints
journal, July 2007

Soft hairy horizons in three spacetime dimensions
journal, May 2017

Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices
journal, May 2012

Black Holes and Entropy
journal, April 1973

Conformal description of horizon's states
journal, May 1999

Isolated horizons: a generalization of black hole mechanics
journal, January 1999

Four-Dimensional Entropy from Three-Dimensional Gravity
journal, August 2015

CFT and black hole entropy in induced gravity
journal, March 2003

Quantization of ${AdS}_{3}$ Black Holes in External Fields: Semiclassical Results from Pure Gravity
journal, September 1998

Entropy of three-dimensional black holes in string theory
journal, April 1998

Effective Conformal Descriptions of Black Hole Entropy
journal, July 2011

Microscopic origin of the Bekenstein-Hawking entropy
journal, June 1996

Black hole entropy calculations based on symmetries
journal, April 2001

Black hole entropy from near-horizon microstates
journal, February 1998

Conformal Field Theory
book, January 1997

Erratum: Extremal and nonextremal Kerr/CFT correspondences
journal, January 2012

Extremal and nonextremal Kerr/CFT correspondences
journal, April 2011

Dilaton gravity in two dimensions
journal, October 2002

Kaluza–Klein theory, AdS/CFT correspondence and black hole entropy
journal, January 2002

Entropy from near-horizon geometries of Killing horizons
journal, January 2014

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
journal, June 1986

Mathematical methods of classical mechanics
journal, March 1990

Mathematical methods of classical mechanics
journal, July 1983

Mathematical Methods of Classical Mechanics
book, January 1989

Black Holes and Entropy
book, September 2019

Extremal and nonextremal Kerr/CFT correspondences
text, January 2011

Effective Conformal Descriptions of Black Hole Entropy
text, January 2011

Holography of 3d Flat Cosmological Horizons
text, January 2012

Entropy from near-horizon geometries of Killing horizons
text, January 2013

Rindler/Contracted-CFT Correspondence
text, January 2014

Four-Dimensional Entropy from Three-Dimensional Gravity
text, January 2015

Supertranslations and Superrotations at the Black Hole Horizon
text, January 2015

Superrotation Charge and Supertranslation Hair on Black Holes
text, January 2016

Soft hairy horizons in three spacetime dimensions
text, January 2016

Asymptotic symmetries on Killing horizons
text, January 2001

Relationship between Hawking Radiation and Gravitational Anomalies
text, January 2005

The Off-Shell Black Hole
text, January 1993

Entropy from Conformal Field Theory at Killing Horizons
text, January 1999

Black hole entropy calculations based on symmetries
text, January 2001

Black Hole Entropy from Near-Horizon Microstates
text, January 1997

Entropy of Three-Dimensional Black Holes in String Theory
text, January 1998

Quantization of AdS_3 Black Holes in External Fields
text, January 1998

Entropy of 2D black holes from counting microstates
text, January 1998

Black Hole Entropy from Conformal Field Theory in Any Dimension
text, January 1998

Holographic description of boundary gravitons in (3+1) dimensions
journal, January 2019

Warped symmetries of the Kerr black hole
journal, January 2020

Asymptotic symmetries of three-dimensional black strings
journal, June 2019

A fuzzy bipolar celestial sphere
journal, July 2019

Near horizon dynamics of three dimensional black holes
journal, January 2020

Black hole entropy and soft hair
text, January 2018

Black Hole Entropy and Soft Hair
text, January 2018

Holographic description of boundary gravitons in (3+1) dimensions
text, January 2018

Asymptotic Symmetries of Three-Dimensional Black Strings
preprint, January 2018

A fuzzy bipolar celestial sphere
text, January 2019

Near horizon dynamics of three dimensional black holes
text, January 2019

Spacetime structure near generic horizons and soft hair
text, January 2019