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In general, the field equation of $f(R)$ gravitational theory is very intricate, and therefore, it is not an easy task to derive analytical solutions. We consider rotating black hole spacetime four-dimensional in the $f(R)$ gravitational…

General Relativity and Quantum Cosmology · Physics 2023-06-14 G. L. N. Nashed , Shin'ichi Nojiri

We present a class of charged black hole solutions in an ($n+2)$-dimensional massive gravity with a negative cosmological constant, and study thermodynamics and phase structure of the black hole solutions both in grand canonical ensemble…

High Energy Physics - Theory · Physics 2015-01-27 Rong-Gen Cai , Ya-Peng Hu , Qi-Yuan Pan , Yun-Long Zhang

The extended thermodynamics of Reissner-Nordstr\"om charged black holes in D-dimensional anti-de Sitter spacetime has a phase structure in the (T,p) plane that includes a line of first order phase transitions ending in a second order…

High Energy Physics - Theory · Physics 2018-12-07 Clifford V. Johnson

A modified version of the Schwarzschild geometry is proposed. The source of curvature comes from an anisotropic fluid with $p_{r} = -\rho$ and fluctuating tangential pressures. The event horizon has zero surface gravity but the invariant…

General Relativity and Quantum Cosmology · Physics 2013-10-10 Hristu Culetu

In this article, we investigate the bulk-boundary and restricted phase space (RPS) thermodynamics of Rissner-Nordstr\"om (R-N) AdS and 6-dimensional charged Gauss-Bonnet AdS black holes. Also, we examine the topological characteristics of…

General Relativity and Quantum Cosmology · Physics 2024-06-05 Jafar Sadeghi , Mohammad Reza Alipour , Saeed Noori Gashti , Mohammad Ali S. Afshar

An explicit formula for the ADM mass of an asymptotically AdS black hole in a generic Lovelock gravity theory is presented, identical in form to that in Einstein gravity, but multiplied by a function of the Lovelock coupling constants and…

High Energy Physics - Theory · Physics 2015-05-28 David Kastor , Sourya Ray , Jennie Traschen

Considering the cosmological constant $\Lambda$ as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume as proposed in Kubiznak and Mann (2012), we discuss the critical behavior of charged AdS black hole in…

High Energy Physics - Theory · Physics 2015-06-11 A. Belhaj , M. Chabab , H. El Moumni , M. B. Sedra

We study the P-V criticality and phase transition in the extended phase space of charged anti-de Sitter black holes in canonical ensemble of ghost-free massive gravity, where the cosmological constant is viewed as a dynamical pressure of…

General Relativity and Quantum Cosmology · Physics 2015-07-08 Jianfei Xu , Li-Ming Cao , Ya-Peng Hu

In this letter, we discuss how thermal fluctuations can effect the stability of (generally) charged black holes when close to certain critical points. Our novel treatment utilizes the black hole area spectrum (which is, for definiteness,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilad Gour , A. J. M. Medved

We obtain the Page curves of an eternal Reissner-Nordstr\"om black hole in the presence of higher derivative terms in four dimensions. We consider two cases: gravitational action with general ${\cal O}(R^2)$ terms plus Maxwell term and…

High Energy Physics - Theory · Physics 2022-10-18 Gopal Yadav

Black holes play an important role in linking microphysics with macrophysics, with those of the Planck mass ($M_P \sim10^{-5}$g) featuring in any theory of quantum gravity. In particular, the Compton-Schwarzschild correspondence posits a…

General Relativity and Quantum Cosmology · Physics 2023-02-27 B. J. Carr

We present exact spherical black hole solutions in de Rham, Gabadadze and Tolley (dRGT) massive gravity for a generic choice of the parameters in the theory, and also discuss the thermodynamical and phase structure of the black hole in both…

General Relativity and Quantum Cosmology · Physics 2016-03-16 Sushant G. Ghosh , Lunchakorn Tannukij , Pitayuth Wongjun

The discovery of new four-dimensional black hole solutions presents a new approach to understand the Gauss-Bonnet gravity in low dimensions. In this paper, we test the Gauss-Bonnet gravity by studying the phase transition and…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Shao-Wen Wei , Yu-Xiao Liu

We discuss some properties of higher derivative (HD) bulk gravity without Riemann tensor square term. Such a kind of gravity admits Schwarzschild Anti de Sitter (SAdS) black hole as exact solution. It is shown that induced brane geometry on…

High Energy Physics - Theory · Physics 2017-08-23 Sachiko Ogushi

It is well known that de Sitter(dS) black holes generally have a black hole horizon and a cosmological horizon, both of which have Hawking radiation. But the radiation temperature of the two horizons is generally different, so dS black…

High Energy Physics - Theory · Physics 2021-02-03 Yubo Ma , Yang Zhang , Lichun Zhang , Liang Wu , Ying Gao , Shuo Cao , Yu Pan

We investigate thermodynamic curvatures of the Kerr and Reissner-Nordstr\"om (RN) black holes in spacetime dimensions higher than four. These black holes possess thermodynamic geometries similar to those in four dimensional spacetime. The…

High Energy Physics - Theory · Physics 2009-01-14 Jan E. Aman , Narit Pidokrajt

We investigate Einstein--Gauss--Bonnet--Maxwell massive gravity in $4D$ AdS background and find an exact black hole solution. The horizon structure of the black holes studied. Treating the cosmological constant as pressure and Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Prosenjit Paul , Sudhaker Upadhyay , Dharm Veer Singh

We study the thermodynamic properties of the Reissner-Nordstr\"om black hole with cosmological constant, expressed in terms of the curvature radius, by using the approach of shadow thermodynamics and the formalism of geometrothermodynamics.…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Jose M. Ladino , Carlos E. Romero-Figueroa , Hernando Quevedo

We study thermodynamic geometry of certain black holes and black branes with and without generalized uncertainty principle or stringy $ \alpha^{\prime} $-corrections to the entropy. From this perspective, we analyze Ruppenier geometry of…

High Energy Physics - Theory · Physics 2011-08-24 Bhupendra Nath Tiwari

We study the consequences of the running Newton's constant on several key aspects of spherically symmetric charged black holes by performing a renormalization group improvement of the classical Reissner-Nordstr\"om metric within the…

General Relativity and Quantum Cosmology · Physics 2023-03-09 O. Ruiz , E. Tuiran
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