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We describe a simple way of obtaining horizon entropy using the approach based on the Virasoro algebra and central charge. We show that the Virasoro algebra defined by the Noether currents corresponding to the surface term of gravitational…

General Relativity and Quantum Cosmology · Physics 2012-11-07 Bibhas Ranjan Majhi , T. Padmanabhan

Null surfaces act as one-way membranes, blocking information from those observers who do not cross them (e.g., in the black hole and the Rindler spacetimes) and these observers associate an entropy (and temperature) with the null surface.…

General Relativity and Quantum Cosmology · Physics 2016-11-11 Sumanta Chakraborty , Sourav Bhattacharya , T. Padmanabhan

A derivation of entropy from the expressions for two dimensional gravitation anomalies is given. Starting from the near horizon anomalous energy-momentum tensors corresponding to particular anomalies, the Virasoro algebra with central…

General Relativity and Quantum Cosmology · Physics 2013-01-29 Bibhas Ranjan Majhi

We provide a simple and straightforward procedure for defining a Virasoro algebra based on the diffeomorphisms near a null surface in a spacetime and obtain the entropy density of the null surface from its central charge. We use the…

General Relativity and Quantum Cosmology · Physics 2012-04-30 Bibhas Ranjan Majhi , T. Padmanabhan

We treat D-dimensional black holes with Killing horizon for extended Gauss-Bonnet gravity. We use Carlip method and impose boundary conditions on horizon what enables us to identify Virasoro algebra and evaluate its central charge and…

High Energy Physics - Theory · Physics 2009-11-07 M. Cvitan , S. Pallua , P. Prester

We impose a certain class of boundary conditions on Killing horizon and show for Lagrangians with arbitrary curvature dependence that one can identify a Virasoro algebra with nontrivial central charge and calculable Hamiltonian eigenvalue.…

High Energy Physics - Theory · Physics 2009-11-10 M. Cvitan , S. Pallua , P. Prester

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…

General Relativity and Quantum Cosmology · Physics 2013-07-24 Bibhas Ranjan Majhi

In relativistic gravity, requiring a spacetime hypersurface be a Killing horizon breaks the general covariance of general relativity. The residual algebra of horizon preserving diffeomorphisms can be extended to a Virasoro algebra near the…

General Relativity and Quantum Cosmology · Physics 2018-10-26 David Mattingly , Matthew Roberson , Sayandeb Basu

We formulate the classical gravitational entropy of a horizon as a Noether charge that does not require the notion of a temperature, and which is applicable to horizons that are not necessarily associated with black holes. This introduces a…

High Energy Physics - Theory · Physics 2025-10-06 Sangmin Choi , Malcolm J. Perry

We treat spherically symmetric black holes in Gauss-Bonnet gravity by imposing boundary conditions on fluctuating metric on the horizon. Obtained effective two-dimensional theory admits Virasoro algebra near the horizon. This enables, with…

High Energy Physics - Theory · Physics 2010-11-19 M. Cvitan , S. Pallua , P. Prester

We show that microscopic entropy formula based on Virasoro algebra follows from properties of stationary Killing horizons for Lagrangians with arbitrary dependence on Riemann tensor. The properties used are consequence of regularity of…

High Energy Physics - Theory · Physics 2009-11-10 M. Cvitan , S. Pallua

We analyze the near horizon structure of the extremal spacelike stretched black holes, exact solutions of topologically massive gravity. We show that the algebra of improved canonical generator is realized as a single centrally extended…

General Relativity and Quantum Cosmology · Physics 2024-08-09 B. Cvetković , D. Rakonjac

Several investigations show that in a very small length scale there exists corrections to the entropy of black hole horizon. Due to fluctuations of the background metric and the external fields the action incorporates corrections. In the…

General Relativity and Quantum Cosmology · Physics 2014-05-21 Bibhas Ranjan Majhi , Sumanta Chakraborty

We show that microscopic black hole entropy formula based on Virasoro algebra can be derived from usual properties of stationary Killing horizons alone and absence of singularities of curvature invariants on them. In such a way some usual…

High Energy Physics - Theory · Physics 2009-11-10 M. Cvitan , S. Pallua , P. Prester

We have a new observation that near horizon symmetry generators, corresponding to diffeomorphisms which leave the horizon structure invariant, satisfy noncommutative Heisenberg algebra. The results are valid for any null surfaces (which has…

General Relativity and Quantum Cosmology · Physics 2017-02-23 Bibhas Ranjan Majhi

Recently, Carlip proposed a derivation of the entropy of the two-dimensional dilatonic black hole by investigating the Virasoro algebra associated with a newly introduced near-horizon conformal symmetry. We point out not only that the…

High Energy Physics - Theory · Physics 2014-11-18 Gungwon Kang , Jun-ichirou Koga , Mu-In Park

Asymptotic symmetry of the Euclidean 3D gravity with torsion is described by two independent Virasoro algebras with different central charges. Elements of this boundary conformal structure are combined with Cardy's formula to calculate the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Blagojevic , B. Cvetkovic

We show that the diffeomorphisms, which preserve the null nature for a generic null metric very near to the null surface, provide {\it noncommutative} Heisenberg algebra. This is the generalization of the earlier work (Phys. Rev. D95,…

General Relativity and Quantum Cosmology · Physics 2018-08-07 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

The isolated horizon framework was introduced in order to provide a local description of black holes that are in equilibrium with their (possibly dynamic) environment. Over the past several years, the framework has been extended to include…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tomas Liko , Ivan Booth

In this paper, we extend the calculation of the entropy of the nonrotating isolated horizons in 4 dimensional spacetime to that in a higher dimensional spacetime. We show that the boundary degrees of freedom on an isolated horizon can be…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Jingbo Wang , Chao-Guang Huang
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