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We consider the most general higher order corrections to the pure gravity action in $D$ dimensions constructed from the basis of the curvature monomial invariants of order 4 and 6, and degree 2 and 3, respectively. Perturbatively solving…

High Energy Physics - Theory · Physics 2008-11-26 Jerzy Matyjasek , Malgorzata Telecka , Dariusz Tryniecki

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories, I show…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip

In this paper we first show that within the Hamiltonian description of general relativity, the central charge of a near horizon asymptotic symmetry group is zero, and therefore that the entropy of the system cannot be estimated using…

High Energy Physics - Theory · Physics 2009-11-10 N. Pinamonti , L. Vanzo

In this paper, we investigate black-hole thermodynamics in the multi-fractional theory with $q$-derivatives, focusing on static, spherically symmetric vacuum solutions in the spherical-coordinate approximation. In the geometric frame the…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Reggie C. Pantig

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories as well,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Carlip

We derive a formula for the black hole entropy in theories with gravitational Chern-Simons terms, by generalizing Wald's argument which uses the Noether charge. It correctly reproduces the entropy of three-dimensional black holes in the…

High Energy Physics - Theory · Physics 2008-11-26 Yuji Tachikawa

We compute leading order corrections to the entropy of any thermodynamic system due to small statistical fluctuations around equilibrium. When applied to black holes, these corrections are shown to be of the form $-k\ln(Area)$. For BTZ…

High Energy Physics - Theory · Physics 2014-11-18 Saurya Das , Parthasarathi Majumdar , Rajat K. Bhaduri

Symmetry based approaches to the black hole entropy problem have a number of attractive features; in particular they are very general and do not depend on the details of the quantization method. However we point out that, of the two…

High Energy Physics - Theory · Physics 2009-11-07 Olaf Dreyer , Amit Ghosh , Jacek Wisniewski

Black hole entropy of the Kerr-like family of spacetimes is introduced as the canonical charge on the horizon. Treating these spacetimes in the framework of Poincar\'e gauge theory either as Riemannian solutions or as solutions with…

General Relativity and Quantum Cosmology · Physics 2019-10-30 M. Blagojević , B. Cvetković

We derive the first law of black hole mechanics for physical theories based on a local, covariant and gauge-invariant Lagrangian where the dynamical fields transform non-trivially under the action of internal gauge transformations. The…

General Relativity and Quantum Cosmology · Physics 2017-01-12 Kartik Prabhu

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

Expanding the work of arXiv:1504.08040, we show that black holes obey a second law for linear perturbations to bifurcate Killing horizons, in any covariant higher curvature gravity coupled to scalar and vector fields. The vector fields do…

General Relativity and Quantum Cosmology · Physics 2025-04-28 Aron C. Wall , Zihan Yan

The quantised charges x of four dimensional stringy black holes may be assigned to elements of an integral Freudenthal triple system whose automorphism group is the corresponding U-duality and whose U-invariant quartic norm Delta(x)…

High Energy Physics - Theory · Physics 2009-07-21 L. Borsten , D. Dahanayake , M. J. Duff , W. Rubens

In the last few years, there has been significant interest in understanding the stationary comparison version of the first law of black hole mechanics in the vielbein formulation of gravity. Several authors have pointed out that to discuss…

High Energy Physics - Theory · Physics 2020-10-28 P. B. Aneesh , Sumanta Chakraborty , Sk Jahanur Hoque , Amitabh Virmani

We consider perturbative quantum gravity as a quantum field theory of linearized metric perturbation on an asymptotically flat spacetime with a bifurcate Killing horizon. We include the perturbative gravitational constraints into the…

High Energy Physics - Theory · Physics 2026-03-04 Avinandan Mondal , Kartik Prabhu

We give the explicit expression for four-dimensional rotating charged black hole solutions of N=4 (or N=8) superstring vacua, parameterized by the ADM mass, four charges (two electric and two magnetic charges, each arising from a different…

High Energy Physics - Theory · Physics 2009-09-17 Mirjam Cvetic , Donam Youm

We study the possibility that black hole entropy be identified as entropy of entanglement across the horizon of the vacuum of a quantum field in the presence of the black hole. We argue that a recent proposal for computing entanglement…

High Energy Physics - Theory · Physics 2009-11-11 Roberto Emparan

For the BTZ black hole in the Einstein gravity, a statistical entropy has been calculated to be equal to the Bekenstein-Hawking entropy. In this paper, the statistical entropy of the BTZ black hole in the higher curvature gravity is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hiromi Saida , Jiro Soda

It is argued that degrees of freedom responsible for the Bekenstein-Hawking entropy of a black hole in induced gravity are described by two dimensional quantum field theory defined on the bifurcation surface of the horizon. This result is…

High Energy Physics - Theory · Physics 2009-10-31 V. Frolov , D. Fursaev

The first law of black hole thermodynamics is suitable for any diffeomorphism invariant gravity, and the entropy in the first law is the Wald entropy which is highly dependent on the non-minimal coupling interactions in the theory of…

General Relativity and Quantum Cosmology · Physics 2023-10-09 Xin-Yang Wang , Jie Jiang