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:: 2018-03-09

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.

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

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                    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.

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@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         = {2018},

  month        = {3}

}

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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

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

On the membrane paradigm and spontaneous breaking of horizon BMS symmetries
journal, July 2016

Eling, Christopher; Oz, Yaron
Journal of High Energy Physics, Vol. 2016, Issue 7
DOI: 10.1007/JHEP07(2016)065

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

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

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
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Journal of High Energy Physics, Vol. 2019, Issue 1
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DOI: 10.1007/jhep01(2020)016

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Journal of High Energy Physics, Vol. 2019, Issue 6
DOI: 10.1007/jhep06(2019)131

A fuzzy bipolar celestial sphere
journal, July 2019

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Journal of High Energy Physics, Vol. 2019, Issue 7
DOI: 10.1007/jhep07(2019)028

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journal, November 2018

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Journal of High Energy Physics, Vol. 2018, Issue 11
DOI: 10.1007/jhep11(2018)125

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journal, December 2018

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Journal of High Energy Physics, Vol. 2018, Issue 12
DOI: 10.1007/jhep12(2018)098

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DOI: 10.1103/physrevd.101.046002

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Physical Review Letters, Vol. 124, Issue 4
DOI: 10.1103/physrevlett.124.041601

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journal, January 2020

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

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Apollo - University of Cambridge Repository
DOI: 10.17863/cam.47103

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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

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DOI: 10.48550/arxiv.1812.08764

A fuzzy bipolar celestial sphere
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DOI: 10.48550/arxiv.1906.10694

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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

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

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

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

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

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

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

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

On the membrane paradigm and spontaneous breaking of horizon BMS symmetries journal, July 2016

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

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

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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

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

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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

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Rindler/Contracted-CFT correspondence
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Superrotation charge and supertranslation hair on black holes
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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
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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

On the membrane paradigm and spontaneous breaking of horizon BMS symmetries
journal, July 2016

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

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

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

Symmetries and charges of general relativity at null boundaries
journal, November 2018

Black hole entropy and soft hair
journal, December 2018

Near-horizon Bondi-Metzner-Sachs symmetry, dimensional reduction, and black hole entropy
journal, February 2020

Spacetime Structure near Generic Horizons and Soft Hair
journal, January 2020

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