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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

We show that the Gauss-Bonnet term can have physical effects in four dimensions. Specifically, the entropy of a black hole acquires a correction that is proportional to the Euler characteristic of the cross sections of the horizon. While…

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

The horizon structure and thermodynamics of hairy spherically symmetric black holes generated by the gravitational decoupling method are carefully investigated. The temperature and heat capacity of the black hole is determined, as well as…

General Relativity and Quantum Cosmology · Physics 2022-07-11 Rogerio T. Cavalcanti , Kelvin dos S. Alves , Julio M. Hoff da Silva

We explore physics behind the horizon in eternal AdS Schwarzschild black holes. In dimension d >3, where the curvature grows large near the singularity, we find distinct but subtle signals of this singularity in the boundary CFT…

High Energy Physics - Theory · Physics 2009-11-10 Lukasz Fidkowski , Veronika Hubeny , Matthew Kleban , Stephen Shenker

Recent work has studied the thermodynamics of gravity subjected to conformal boundary conditions, where the trace of the extrinsic curvature $K$ and the conformal class of metrics are kept fixed. The case $K < 0$ seems tied to solutions…

High Energy Physics - Theory · Physics 2025-03-25 Batoul Banihashemi , Edgar Shaghoulian , Sanjit Shashi

Eternal asymptotically AdS black holes are dual to thermofield double states in the boundary CFT. It has long been known that black hole singularities have certain signatures in boundary thermal two-point functions related to null geodesics…

High Energy Physics - Theory · Physics 2024-04-29 Nejc Čeplak , Hong Liu , Andrei Parnachev , Samuel Valach

In three spacetime dimensions, general relativity becomes a topological field theory, whose dynamics can be largely described holographically by a two-dimensional conformal field theory at the ``boundary'' of spacetime. I review what is…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

This paper presents a detailed study of the thermodynamics of charged BTZ black holes using the conformal holographic extended thermodynamics formalism and Tsallis statistics. The cornerstone of our thermodynamic framework is the re-scaling…

High Energy Physics - Theory · Physics 2024-11-18 Yahya Ladghami , Brahim Asfour , Amine Bouali , Taoufik Ouali , G. Mustafa

The relationship between thermodynamics and the Lloyd bound on the holographic complexity for a black hole has been of interest. We consider $D$ dimensional anti-de Sitter black holes with hyperbolic geometry as well as black holes with…

High Energy Physics - Theory · Physics 2022-08-03 H. Babaei-Aghbolagh , Hosein Mohammadzadeh , Davood Mahdavian Yekta , Komeil Babaei Velni

We show that the Bekenstein-Hawking entropy associated with any black hole undergoes logarithmic corrections when small thermodynamic fluctuations around equilibrium are taken into account. Thus, the corrected expression for black hole…

High Energy Physics - Theory · Physics 2007-05-23 Saurya Das

We assume the validity of the Bekenstein-Hawking entropy, as given in terms of the horizon area of the Bardeen regular black hole, and consider it as the fundamental thermodynamic equation. We derive and investigate the behavior of the main…

General Relativity and Quantum Cosmology · Physics 2025-02-10 H. Quevedo , M. N. Quevedo , A. Sanchez

In this paper, we study the properties of the (2+1)-dimensional black holes from the viewpoint of geometrothermodynamics. We show that the Legendre invariant metric of the (2+1)-dimensional black holes can produce correctly the behavior of…

General Relativity and Quantum Cosmology · Physics 2015-06-05 YiWen Han , Gang Chen

The entropy of a black hole can differ from a quarter of the area of the horizon because of quantum corrections. The correction is related to the contribution to the Euclidean functional integral from quantum fluctuations but is not simply…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Ghosh , P. Mitra

In this work, we consider rotating BTZ black hole in three dimensions which is dual of one dimensional holographic superconductors. We applied higher order corrections of the entropy, which interpreted as quantum corrections, to the…

General Relativity and Quantum Cosmology · Physics 2018-01-17 B. Pourhassan , K. Kokabi

In a recent paper (Phys. Dark Univ. {\bf 31}, 100744 (2021)) it has been obtained new static black hole solutions with primary hairs by the Gravitational Decoupling. In this work we either study the geodesic motion of massive and massless…

General Relativity and Quantum Cosmology · Physics 2021-07-14 A. Ramos , C. Arias , R. Ávalos , E. Contreras

We apply a finite-time geometric optimization framework to investigate thermal fluctuations and (non)equilibrium optimal processes in the $(2+1)$-dimensional BTZ black hole. Employing Hessian thermodynamic information metrics, we construct…

General Relativity and Quantum Cosmology · Physics 2026-03-25 M. Radomirov , R. C. Rashkov , G. S. Stoilov , T. Vetsov

The change in Holographic entanglement entropy (HEE) for small fluctuations about pure AdS is given by a perturbative expansion of the area functional in terms of the change in the bulk metric and the embedded extremal surface. However it…

High Energy Physics - Theory · Physics 2016-12-09 Avirup Ghosh , Rohit Mishra

We develop a unified analytic treatment of the Horowitz--Polchinski string/black hole correspondence that systematically incorporates higher-derivative corrections to gravity. Working in Euclidean signature -- where the Euclidean black hole…

High Energy Physics - Theory · Physics 2026-03-10 Bum-Hoon Lee , Hocheol Lee , Somyadip Thakur

In this paper we review the properties of the black hole entropy in the light of a general conformal field theory treatment. We find that the properties of horizons of the BTZ black holes in ADS_{3}, can be described in terms of an…

High Energy Physics - Theory · Physics 2008-11-26 G. Maiella , C. Stornaiolo

We compute one point functions of chiral primary operators in the D1-D5 orbifold CFT, in classes of states corresponding to microstates of two and three charge black holes. Black hole microstates describable by supergravity solutions…

High Energy Physics - Theory · Physics 2019-04-24 Joan Garcia i Tormo , Marika Taylor