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Title: Black hole entropy and soft hair

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4]
  1. Cambridge Univ. (United Kingdom); Harvard Univ., Cambridge, MA (United States)
  2. Cambridge Univ. (United Kingdom)
  3. Cambridge Univ. (United Kingdom); Harvard Univ., Cambridge, MA (United States); Radcliffe Inst. for Advanced Study, Cambridge, MA (United States)
  4. Harvard Univ., Cambridge, MA (United States)

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 cL = cR = 12J. Assuming the existence of a quantum Hilbert space on which these charges generate the symmetries, as well as the applicability of the Cardy formula, the central charges reproduce the macroscopic area-entropy law for generic Kerr black holes.

Research Organization:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); John Templeton Foundation; George and Cynthia Mitchell Foundation
Contributing Organization:
Black Hole Initiative
Grant/Contract Number:
SC0007870
OSTI ID:
1598778
Journal Information:
Journal of High Energy Physics (Online), Vol. 2018, Issue 12; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 100 works
Citation information provided by
Web of Science

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New theoretical approaches to black holes text January 2008
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Real-time Correlators and Hidden Conformal Symmetry in Kerr/CFT Correspondence text January 2010
Correlation Functions and Hidden Conformal Symmetry of Kerr Black Holes text January 2010
Hawking radiation by Kerr black holes and conformal symmetry text January 2010
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Conformal Symmetry for Black Holes in Four Dimensions text January 2011
Subtracted Geometry From Harrison Transformations text January 2012
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Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture text January 2015
Supertranslations and Superrotations at the Black Hole Horizon text January 2015
Soft Hair on Black Holes text January 2016
Vacua of the gravitational field text January 2016
Residual Diffeomorphisms and Symplectic Softs Hairs: The Need to Refine Strict Statement of Equivalence Principle text January 2016
Bulk supertranslation memories: a concept reshaping the vacua and black holes of general relativity text January 2016
Soft hairs on isolated horizon implanted by electromagnetic fields text January 2016
Testing the black hole "no-hair" hypothesis text January 2016
Extended Symmetries at the Black Hole Horizon text January 2016
Gravitational correlation, black hole entropy and information conservation preprint January 2016
Superrotation Charge and Supertranslation Hair on Black Holes text January 2016
Soft Hair as a Soft Wig text January 2017
Soft-Hair-Enhanced Entanglement Beyond Page Curves in a Black-hole Evaporation Qubit Model text January 2017
Black Hole Evaporation, Quantum Hair and Supertranslations text January 2017
An integrable Lorentz-breaking deformation of two-dimensional CFTs text January 2017
Soft hairy warped black hole entropy text January 2017
Soft Hair of Dynamical Black Hole and Hawking Radiation text January 2018
Near Horizon Symmetry and Entropy Formula for Kerr-Newman (A)dS Black Holes text January 2018
Localisation of Soft Charges, and Thermodynamics of Softly Hairy Black Holes text January 2018
Membrane Paradigm from Near Horizon Soft Hair text January 2018
Holographic Gravitational Anomalies text January 2005
Statistical Hair on Black Holes text January 1996
Black Hole Entropy from Near-Horizon Microstates text January 1997
AdS3 Black Holes and a Stringy Exclusion Principle text January 1998

Cited By (35)

Dyonic black holes in $\mathfrak{su}(\infty)$ anti-de Sitter Einstein–Yang–Mills theory, characterised by an infinite set of global charges journal August 2019
Symmetries, charges and conservation laws at causal diamonds in general relativity journal October 2019
The holographic dual of the entanglement wedge symplectic form text January 2020
A fuzzy bipolar celestial sphere journal July 2019
Stephen William Hawking CH CBE. 8 January 1942—14 March 2018 journal January 2019
Effect of the Hair on Deflection Angle by Asymptotically Flat Black Holes in Einstein-Maxwell-Dilaton Theory text January 2019
Near horizon dynamics of three dimensional black holes journal January 2020
State space of a black hole and soft hair journal January 2020
Emergent classical spacetime from microstates of an incipient black hole journal January 2019
Schwarzschild/CFT from soft black hole hair? journal January 2019
Black holes in the quantum universe journal November 2019
Asymptotic conformal symmetry at spatial infinity journal December 2019
Warped symmetries of the Kerr black hole journal January 2020
Effect of the hair on deflection angle by asymptotically flat black holes in Einstein-Maxwell-dilaton theory journal August 2019
Carrollian physics at the black hole horizon journal July 2019
Gravitational edge modes: from Kac–Moody charges to Poincaré networks journal September 2019
The holographic dual of the entanglement wedge symplectic form journal January 2020
Cosmological horizons, Noether charges and entropy journal July 2019
Kinematical gravitational charge algebra journal January 2020
BTZ black hole with Korteweg–de Vries-type boundary conditions: Thermodynamics revisited journal December 2019
The holographic dual of the entanglement wedge symplectic form text January 2020
Schwarzschild/CFT from soft black hole hair? text January 2018
Emergent classical spacetime from microstates of an incipient black hole text January 2018
Entanglement Entropy, Relative Entropy and Duality text January 2018
Dyonic black holes in $\mathfrak{su}(\infty)$ anti-de Sitter Einstein-Yang-Mills theory, characterised by an infinite set of global charges text January 2018
A fuzzy bipolar celestial sphere text January 2019
Unambiguous Phase Spaces for Subregions text January 2019
Cosmological horizons, Noether charges and entropy text January 2019
Black holes in the quantum universe text January 2019
Near horizon dynamics of three dimensional black holes text January 2019
Symmetries, charges and conservation laws at causal diamonds in general relativity text January 2019
Effect of the hair on deflection angle by asymptotically flat black holes in Einstein-Maxwell-dilaton theory text January 2019
Spacetime structure near generic horizons and soft hair text January 2019
The Holographic Dual of the Entanglement Wedge Symplectic Form text January 2019
Asymptotic conformal symmetry at spatial infinity text January 2019

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