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The Hessian of the entropy function can be thought of as a metric tensor on the state space. In the context of thermodynamical fluctuation theory Ruppeiner has argued that the Riemannian geometry of this metric gives insight into the…

广义相对论与量子宇宙学 · 物理学 2009-01-14 Jan Aman , Ingemar Bengtsson , Narit Pidokrajt

Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS$_3$ (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS$_3$ is a conformal field theory, we…

高能物理 - 理论 · 物理学 2009-10-30 Andrew Strominger

The entropy for two-dimensional black holes is obtained through the entropy function with the condition that the geometry approaches an $AdS_2$ spacetime in the near horizon limit. It is shown that the entropy is universal and proportional…

高能物理 - 理论 · 物理学 2010-10-27 Seungjoon Hyun , Wontae Kim , John J. Oh , Edwin J. Son

In classical thermodynamics, irreversible processes are accomplished with an increase of entropy and a release of heat into the environment. In the case of black hole thermodynamics, instead, the increase of entropy is related with the…

广义相对论与量子宇宙学 · 物理学 2017-12-08 Arturo J. Gomez , Carlos Paiva

The aim of this work is to study the role of relative entropy in the thermodynamics of black holes and cosmological horizons. We adapt some recent results on the relative entropy of coherent excitations of the vacuum, to find the variation…

广义相对论与量子宇宙学 · 物理学 2023-09-06 Edoardo D'Angelo

The thermodynamics of black holes in various dimensions are described in the presence of a negative cosmological constant which is treated as a thermodynamic variable, interpreted as a pressure in the equation of state. The black hole mass…

广义相对论与量子宇宙学 · 物理学 2012-12-24 Brian P. Dolan

A general Hamiltonian approach to black hole thermodynamics is used to study entropy and conserved charges for Kerr-AdS solutions in general relativity. These thermodynamic variables are first consistently defined by choosing suitable…

广义相对论与量子宇宙学 · 物理学 2020-04-15 Milutin Blagojević , Branislav Cvetković

We investigate the black hole solution to (2+1)-dimensional gravity coupled to topological matter, with a vanishing cosmological constant. We calculate the total energy, angular momentum and entropy of the black hole in this model and…

广义相对论与量子宇宙学 · 物理学 2010-04-28 S. Carlip , J. Gegenberg , R. B. Mann

In the context of guage/gravity duality, we investigate the central charges of a number of 2-dimensional conformal field theories (CFTs) that might live on the boundary of some 3-dimensional (3D) toy models of gravity, from the…

高能物理 - 理论 · 物理学 2021-05-04 Davood Mahdavian Yekta , Hanif Golchin

In this work we investigate the thermodynamic properties of conformal gravity in four dimensions. We compute the \emph{area(or entropy) functional} relation for this black hole. We consider both de-Sitter (dS) and anti de-Sitter (AdS)…

广义相对论与量子宇宙学 · 物理学 2017-05-02 Parthapratim Pradhan

In this paper, we consider $(n+1)$-dimensional topological dilaton de Sitter black holes with power-Maxwell field as thermodynamic systems. The thermodynamic quantities corresponding to the black hole horizon and the cosmological horizon…

高能物理 - 理论 · 物理学 2021-05-26 Hui-Hua Zhao , Li-Chun Zhang , Ying Gao , Fang Liu

Semi-classical dilaton gravity in (1+1)-dimensions remains one of the only arenas where quantum black holes can be exactly constructed, fully accounting for backreaction due to quantum matter. Here we provide a comprehensive analysis of the…

广义相对论与量子宇宙学 · 物理学 2025-12-24 Jean Alexandre , Eleni-Alexandra Kontou , Diego Pardo Santos , Silvia Pla , Andrew Svesko

Asymptotically locally AdS and asymptotically flat black hole solutions are found for a particular case of the Horndeski action. The action contains the Einstein-Hilbert term with a cosmological constant, a real scalar field with a non…

广义相对论与量子宇宙学 · 物理学 2014-04-23 Adolfo Cisterna , Cristián Erices

We investigate the physical properties of the de Sitter spacetime and new type-de Sitter black holes in new massive gravity, a higher derivative gravity theory in three dimensions. We calculate thermodynamic quantities and check that the…

高能物理 - 理论 · 物理学 2015-06-17 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park

The role of torsion in quantum three-dimensional gravity is investigated by studying the partition function of the Euclidean theory in Riemann-Cartan spacetime. The entropy of the black hole with torsion is found to differ from the standard…

广义相对论与量子宇宙学 · 物理学 2009-11-11 M. Blagojevic , B. Cvetkovic

We introduce novel black hole (BH) solutions, charge/non-charge, within the framework of $f(R)$ gravity, a theory that does not inherently include a cosmological constant, using equal/diffirent metric ansatzs. Remarkably, these solutions…

广义相对论与量子宇宙学 · 物理学 2025-09-22 G. G. L. Nashed

We discuss some aspects of soft hairy black holes and a new kind of "soft hairy cosmologies", including a detailed derivation of the metric formulation, results on flat space, and novel observations concerning the entropy. Remarkably, like…

高能物理 - 理论 · 物理学 2017-05-24 Hamid Afshar , Daniel Grumiller , Wout Merbis , Alfredo Perez , David Tempo , Ricardo Troncoso

We present a c-function for spherically symmetric, static and asymptotically flat solutions in theories of four-dimensional gravity coupled to gauge fields and moduli. The c-function is valid for both extremal and non-extremal black holes.…

高能物理 - 理论 · 物理学 2009-11-11 Kevin Goldstein , Rudra P. Jena , Gautam Mandal , Sandip P. Trivedi

We introduce an entropy function for supersymmetric accelerating black holes in $AdS_4$, that uplift on general Sasaki-Einstein manifolds $X_7$ to solutions of M-theory. This allows one to compute the black hole entropy without knowing the…

高能物理 - 理论 · 物理学 2023-07-27 Andrea Boido , Jerome P. Gauntlett , Dario Martelli , James Sparks

The theory of massive gravity proposed by Bergshoeff, Hohm and Townsend is considered in the special case of the pure irreducibly fourth order quadratic Lagrangian. It is shown that the asymptotically locally flat black holes of this theory…

高能物理 - 理论 · 物理学 2016-04-06 Glenn Barnich , Cédric Troessaert , David Tempo , Ricardo Troncoso