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We study the entropy relations of multi-horizons black holes in higher dimensional (A)dS spacetime with maximal symmetries, including Einstein-Maxwell gravity and $f(R)$(-Maxwell) gravity. These additional equalities in thermodynamics are…

General Relativity and Quantum Cosmology · Physics 2014-03-04 Jia Wang , Wei Xu , Xin-he Meng

We focus on the entropy relations of black holes in three, four and higher dimensions. These entropy relations include entropy product, "part" entropy product and entropy sum. We also discuss their differences and similarities, in order to…

General Relativity and Quantum Cosmology · Physics 2014-07-23 Xin-he Meng , Wei Xu , Jia Wang

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…

High Energy Physics - Theory · Physics 2010-10-27 Seungjoon Hyun , Wontae Kim , John J. Oh , Edwin J. Son

Black holes are famous for their universal behavior. New thermodynamic relations have been found recently for the product of gravitational entropies over all the horizons of a given stationary black hole. This product has been found to be…

High Energy Physics - Theory · Physics 2015-06-15 Alejandra Castro , Nima Dehmami , Gaston Giribet , David Kastor

We review black hole entropy with special reference to euclidean quantum gravity, the brick wall approach and loop quantum gravity.

High Energy Physics - Theory · Physics 2009-03-09 P. Mitra

In Einstein-aether theory, violating Lorentz invariance permits some super-luminal communications, and the universal horizon can trap excitations traveling at arbitrarily high velocities. To better understand the nature of these universal…

General Relativity and Quantum Cosmology · Physics 2017-03-28 Chikun Ding , Changqing Liu

Perturbative corrections to General Relativity alter the expressions for both the entropy of black holes and their extremality bounds. We prove a universal relation between the leading corrections to these quantities. The derivation is…

High Energy Physics - Theory · Physics 2020-03-18 Garrett Goon , Riccardo Penco

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking (black hole) entropy, which relates the entropy to the cross-sectional area of the black hole horizon. Using generalized…

General Relativity and Quantum Cosmology · Physics 2015-03-30 Abdel Nasser Tawfik , Eiman Abou El Dahab

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

Entanglement entropy first arose from attempts to understand the entropy of black holes, and is believed to play a crucial role in a complete description of quantum gravity. This thesis explores some proposed connections between…

High Energy Physics - Theory · Physics 2018-08-14 Antony J. Speranza

We discuss the entropy-area relation for the small black holes with higher curvature corrections by using the entropy function formalism and field redefinition method. We show that the entropy $S_{BH}$ of small black hole is proportional to…

High Energy Physics - Theory · Physics 2008-11-26 Rong-Gen Cai , Chiang-Mei Chen , Kei-ichi Maeda , Nobuyoshi Ohta , Da-Wei Pang

Black holes monopolize nowadays the center stage of fundamental physics. Yet, they are poorly understood objects. Notwithstanding, from their generic properties, one can infer important clues to what a fundamental theory, a theory that…

General Relativity and Quantum Cosmology · Physics 2008-04-05 José P. S. Lemos

Recent advancements in black hole thermodynamics have introduced corrections to elucidate the relationship between entropy and extremality bound of black holes. Traditionally, this relationship has been studied in the context of black holes…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Ankit Anand , Saeed Noori Gashti

Logarithmic corrections to the entropy of extremal black holes have proven effective in precisely matching the microscopic degeneracies obtained from string-theoretic as well as a non-perturbative quantum correction manifests as an…

High Energy Physics - Theory · Physics 2025-04-23 Ankit Anand

The equivalence principle and its universality enables the geometrical formulation of gravity. In the standard formulation of General Relativity \'a la Einstein, the gravitational interaction is geometrized in terms of the spacetime…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Lavinia Heisenberg , Simon Kuhn , Laurens Walleghem

A key test of any quantum theory of gravity is its ability to reproduce the known thermodynamic properties of black holes. A statistical mechanical description of the Bekenstein-Hawking entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Steven Carlip

For general metric theories of gravity, we compare the approach that describes-derives the field equations of gravity as a thermodynamic identity with the one which looks at them from entropy bounds. The comparison is made through the…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Alessandro Pesci

Space-time singularities, viz. Big bang, Big crunch and black holes have been shown to follow from the singularity theorems of General relativity. Whether the entropy at such infinite proper-time objects can be other than zero has also been…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Akinbo Ojo

It is proposed by Cvetic et al [Phys. Rev. Lett. 106 (2011) 121301] that the product of all horizon areas for general rotating multi-change black holes has universal expressions independent of the mass. When we consider the product of all…

General Relativity and Quantum Cosmology · Physics 2014-11-12 Yi-Qiang Du , Yu Tian

The universal thermodynamic relations between corrections to entropy and extremality for various black holes solutions have been studied. In this regard, we hereby consider a number of different black brane solutions in different structures…

General Relativity and Quantum Cosmology · Physics 2022-11-22 J. Sadeghi , B. Pourhassan , S. Noori Gashti , S. Upadhyay
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