scholarly journals Surface term, Virasoro algebra, and Wald entropy of black holes in higher-curvature gravity

2013 ◽  
Vol 87 (4) ◽  
Author(s):  
Shao-Jun Zhang ◽  
Bin Wang
Keyword(s):  
Black Holes ◽  
Virasoro Algebra ◽  
Surface Term ◽  
Higher Curvature Gravity

scholarly journals Horizon symmetries and hairy black holes in AdS

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Laura Donnay ◽  
Gaston Giribet ◽  
Julio Oliva
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Conformal Symmetry ◽  
Virasoro Algebra ◽  
Black Hole Entropy ◽  
Infinite Dimensional ◽  
Higher Derivative ◽  
Ads Black Holes ◽  
Local Current ◽  
3D Gravity

Abstract We investigate whether supertranslation symmetry may appear in a scenario that involves black holes in AdS space. The framework we consider is massive 3D gravity, which admits a rich black hole phase space, including stationary AdS black holes with softly decaying hair. We consider a set of asymptotic conditions that permits such decaying near the boundary, and which, in addition to the local conformal symmetry, is preserved by an extra local current. The corresponding algebra of diffeomorphisms consists of two copies of Virasoro algebra in semi-direct sum with an infinite-dimensional Abelian ideal. We then reorient the analysis to the near horizon region, where infinite-dimensional symmetries also appear. The supertranslation symmetry at the horizon yields an infinite set of non-trivial charges, which we explicitly compute. The zero-mode of these charges correctly reproduces the black hole entropy. In contrast to Einstein gravity, in the higher-derivative theory subleading terms in the near horizon expansion contribute to the near horizon charges. Such terms happen to capture the higher-curvature corrections to the Bekenstein area law.

scholarly journals A Second Law for higher curvature gravity

2015 ◽  
Vol 24 (12) ◽  
pp. 1544014 ◽  
Author(s):  
Aron C. Wall
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Gravity ◽  
Entanglement Entropy ◽  
Black Hole Thermodynamics ◽  
Gravity Theory ◽  
Second Law ◽  
Holographic Entanglement Entropy ◽  
Higher Curvature Gravity ◽  
Complete Quantum

The Second Law of black hole thermodynamics is shown to hold for arbitrarily complicated theories of higher curvature gravity, so long as we allow only linearized perturbations to stationary black holes. Some ambiguities in Wald’s Noether charge method are resolved. The increasing quantity turns out to be the same as the holographic entanglement entropy calculated by Dong. It is suggested that only the linearization of the higher curvature Second Law is important, when consistently truncating a UV-complete quantum gravity theory.

scholarly journals Noether Current of the Surface Term of Einstein-Hilbert Action, Virasoro Algebra, and Entropy

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Bibhas Ranjan Majhi
Keyword(s):  
Virasoro Algebra ◽  
Surface Term ◽  
Hilbert Action ◽  
Noether Current ◽  
Cardy Formula

A derivation of Noether current from the surface term of Einstein-Hilbert action is given. We show that the corresponding charge, calculated on the horizon, is related to the Bekenstein-Hawking entropy. Also using the charge, the same entropy is found based on the Virasoro algebra and Cardy formula approach. In this approach, the relevant diffeomorphisms are found by imposing a very simple physical argument:diffeomorphisms keep the horizon structure invariant. This complements similar earlier results (Majhi and Padmanabhan (2012)) (arXiv:1204.1422) obtained from York-Gibbons-Hawking surface term. Finally we discuss the technical simplicities and improvements over the earlier attempts and also various important physical implications.

scholarly journals Dirty black holes: Entropy as a surface term

1993 ◽  
Vol 48 (12) ◽  
pp. 5697-5705 ◽  
Author(s):  
Matt Visser
Keyword(s):  
Black Holes ◽  
Surface Term
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