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In this paper, we study the thermodynamics and geothermodynamics of spherical black hole solutions in dRGT massive gravity in a new extended phase space. Inspired by the work of Kastor et al. [1], by interpreting the graviton mass as a…

High Energy Physics - Theory · Physics 2019-05-01 M. Chabab , H. El Moumni , S. Iraoui , K. Masmar

We discuss the quantum corrections to thermodynamics (and geometry) of S(A)dS BHs using large $N$ one-loop anomaly induced effective action for dilaton coupled matter (scalars and spinors). It is found the temperature, mass and entropy with…

High Energy Physics - Theory · Physics 2009-10-31 Shin'ichi Nojiri , Sergei D. Odintsov

Assuming the hypothesis of the entropic nature of gravity, we calculate generalized Newtonian forces, their associated potentials and field equations, when other, in general non-extensive, entropies are considered instead of the usual…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Aldo Martínez-Merino , Octavio Obregón , Michael P. Ryan

A Liouville formalism was proposed many years ago to account for the black hole entropy. It was recently updated to connect thermodynamics of general black holes, in particular the Hawking temperature, to two-dimensional Liouville theory.…

High Energy Physics - Theory · Physics 2012-08-09 Fang-Fang Yuan , Yong-Chang Huang

The thermodynamic second law in the evaporating black hole space-time is examined in the context of two-dimensional dilaton black hole. The dynamical evolution of entropy is investigated by using the analytical perturbation method and the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Kouichirou Hirata , Yoshi Fujiwara , Jiro Soda

We investigate five-dimensional static (non-)extremal black hole solutions in higher derivative Anti-de Sitter gravity theories with neutral scalars non-minimally coupled to gauge fields. We explicitly identify the boundary counterterms to…

High Energy Physics - Theory · Physics 2009-12-10 Dumitru Astefanesei , Nabamita Banerjee , Suvankar Dutta

There are several reasons to support the idea that entropy might be associated to gravity itself. In the absence of a quantum theory of gravity, classical estimators for the gravitational entropy have been proposed. Any viable description…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Alan Alejandro Pánuco Liñán , Daniela Pérez , Carlos Luna , Gustavo E. Romero

The study of thermodynamics in the view of the Hamiltonian approach is a newest tool to analyze the thermodynamic properties of the black holes. In this letter, we investigate the thermodynamics of $d$-dimensional ($d>3$) asymptotically…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Amritendu Haldar , Ritabrata Biswas

A gravitational potential in the relativistic case is introduced as an alternative to Wald's potential used by Verlinde, which reproduces the familiar entropy/area relation S=A/4 (in the natural units) when Verlinde's idea is applied to the…

High Energy Physics - Theory · Physics 2010-05-19 Yu Tian , Xiaoning Wu

We assume that the negative cosmological constant as a thermodynamical pressure and the asymptotically anti-de Sitter (AdS) black hole thermodynamics with modified Chaplygin gas. We have written the mass of the black hole, volume, entropy…

General Relativity and Quantum Cosmology · Physics 2019-03-12 Ujjal Debnath

Thermal partition functions for gravitational systems have traditionally been studied using Euclidean path integrals. But in Euclidean signature the gravitational action suffers from the conformal factor problem, which renders the action…

High Energy Physics - Theory · Physics 2022-08-10 Donald Marolf

Inspired by non-commutative geometry in string theory, we propose extended derivatives in black hole physics by incorporating a real antisymmetric tensor of rank 2 carrying similarities of certain stringy fields. Using gauge theory…

High Energy Physics - Theory · Physics 2025-11-25 Adil Belhaj , Maryem Jemri

Renewed interest in deriving gravity (more precisely, the Einstein equations) from thermodynamics considerations [1, 2] is stirred up by a recent proposal that 'gravity is an entropic force' [3] (see also [4]). Even though I find the…

General Relativity and Quantum Cosmology · Physics 2011-05-25 B. L. Hu

Using the Sen's mechanism we calculate the entropy for an $AdS_{2}\times S^{d-2}$ extremal and static black hole in four dimensions, with higher derivative terms that comes from a three parameter non-minimal Einstein-Maxwell theory. The…

High Energy Physics - Theory · Physics 2012-01-17 A. Ulacia Rey

We study a claimed new mechanism for particle production and black hole evaporation through a spatially dependent temperature. This new temperature is comparable to the Hawking result near the black hole, but is very small far away, and…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Mark P. Hertzberg , Abraham Loeb

If cosmological constant is positive, a black hole is naturally described by the Schwarzschild-de Sitter solution with two horizons. We use the global method to extract the topological information and the selection rule for the…

High Energy Physics - Theory · Physics 2007-05-23 Feng-Li Lin

We study the thermodynamics of de Sitter black holes with a conformally coupled scalar field. The geometry is that of the ``lukewarm'' Reissner-Nordstrom-de Sitter black holes, with the event and cosmological horizons at the same…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Anne-Marie Barlow , Daniel Doherty , Elizabeth Winstanley

It has been observed that for black holes in certain family of Horndeski gravity theories Wald's entropy formula does not lead to the correct first law for black hole thermodynamics. For this family of Horndeski theories speeds of…

General Relativity and Quantum Cosmology · Physics 2020-12-22 K. Hajian , S. Liberati , M. M. Sheikh-Jabbari , M. H. Vahidinia

In this Letter we have shown that, from the standard thermodynamic functions, the mathematical form of an equipartition theorem may be related to the algebraic expression of a particular entropy initially chosen to describe the black hole…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Everton M. C. Abreu , Jorge Ananias Neto , Edésio M. Barboza , Albert C. R. Mendes , Bráulio B. Soares

We study the three dimensional Schwarzschild-de Sitter (SdS$_3$) black hole which corresponds essentially to a conical defect. We compute the mass of the SdS$_3$ black hole from the correct definition of the mass in asymptotically de Sitter…

High Energy Physics - Theory · Physics 2009-11-07 Y. S. Myung
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