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We calculate corrections to the Bekenstein-Hawking entropy formula for the five-dimensional topological AdS (TAdS)-black holes and topological de Sitter (TdS) spaces due to thermal fluctuations. We can derive all thermal properties of the…

High Energy Physics - Theory · Physics 2010-04-05 Y. S. Myung

We discuss the difference between the thermodynamics of black holes and thermodynamics of the de Sitter expansion. Both systems experience the Hawking radiation, but its impact on thermodynamics is different. As distinct from the…

General Relativity and Quantum Cosmology · Physics 2026-04-07 G. E. Volovik

Using numerical and perturbative methods, we construct the first examples of black hole solutions in Einsteinian cubic gravity and study their thermodynamics. Focusing first on four dimensional solutions, we show that these black holes have…

High Energy Physics - Theory · Physics 2017-04-05 Robie A. Hennigar , Robert B. Mann

In this paper, by taking de Sitter space-time as a thermodynamic system, we study the equivalent thermodynamic quantities of de Sitter black hole in massive gravity, and furthermore obtain the equivalent thermodynamic quantities of the…

High Energy Physics - Theory · Physics 2018-06-13 Yu-Bo Ma , Ren Zhao , Shuo Cao

Pure thermodynamical considerations to describe the entropic evolution of the universe seem to violate the Second Law of Thermodynamics. This suggests that the gravitational field itself has entropy. In this paper we expand recent work done…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Gustavo E. Romero , Romain Thomas , Daniela Pérez

We continue the study of thermodynamics of black holes in de Sitter spaces. In a previous paper (hep-th/0111093), we have shown that the entropy of cosmological horizon in the Schwarzschild-de Sitter solution and topological de Sitter…

High Energy Physics - Theory · Physics 2008-11-26 Rong-Gen Cai

Thermodynamics of five-dimensional Schwarzschild Anti-de Sitter (SAdS) and SdS black holes in the particular model of higher derivative gravity is considered. The free energy, mass (thermodynamical energy) and entropy are evaluated. There…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

The Ruppeiner metric as determined by the Hessian of the Gibbs surface provides a geometric description of thermodynamic systems in equilibrium. An interesting example is a black hole in equilibrium with its own Hawking radiation. In this…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jan E Aman , James Bedford , Daniel Grumiller , Narit Pidokrajt , John Ward

We study thermodynamics of cylindrically symmetric black holes. Uncharged as well as charged and rotating objects have been discussed. We derive surface gravity and hence the Hawking temperature and entropy for all these cases. We correct…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Aeeman Fatima , K. Saifullah

In this work, we study the thermodynamic properties on a non--commutative background via gravitational gauge field potentials. This procedure is accomplished after contracting de Sitter (dS) group, $\mathrm{SO}(4,1)$, with the Poincar\`e…

High Energy Physics - Theory · Physics 2023-02-07 A. A. Araújo Filho , S. Zare , P. J. Porfírio , J. Kříž , H. Hassanabadi

We present a class of exact analytic and static, spherically symmetric black hole solutions in the semi-classical Einstein equations with Weyl anomaly. The solutions have two branches, one is asymptotically flat and the other asymptotically…

High Energy Physics - Theory · Physics 2010-04-30 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

We give a brief survey of thermodynamic metrics, in particular the Hessian of the entropy function, and how they apply to black hole thermodynamics. We then provide a detailed discussion of the Gibbs surface of Kerr black holes. In…

General Relativity and Quantum Cosmology · Physics 2015-10-30 Jan Åman , Ingemar Bengtsson , Narit Pidokrajt

The Euclidean Schwarzschild-de Sitter geometry may be considered as an extremum of two different action principles. If the thermodynamical parameters are held fixed at the cosmological horizon, one deals with the gravitational…

High Energy Physics - Theory · Physics 2007-05-23 Claudio Teitelboim

We propose novel thermodynamic inequalities that apply to stationary asymptotically Anti-de Sitter (AdS) black holes. These inequalities incorporate the thermodynamic volume and refine the reverse isoperimetric inequality. To assess the…

General Relativity and Quantum Cosmology · Physics 2023-12-13 Masaya Amo , Antonia M. Frassino , Robie A. Hennigar

Scalar-tensor theory of gravity with nonlinear electromagnetic field, minimally coupled to gravity is considered and static black hole solutions are obtained. Namely, power-law and Born-Infeld nonlinear Lagrangians for the electromagnetic…

High Energy Physics - Theory · Physics 2020-05-22 M. M. Stetsko

For analyzing the thermodynamical behavior of two well-known black holes such as RN-AdS black hole with global monopole and $f(R)$ black hole, we consider the higher order logarithmic corrected entropy. We develop various thermodynamical…

General Relativity and Quantum Cosmology · Physics 2018-11-28 M. Umair Shahzad , Abdul Jawad

The recently discussed notion of geometric entropy is shown to be related to earlier calculations of thermal effects in Rindler space. The evaluation is extended to de Sitter space and to a two-dimensional black hole.

High Energy Physics - Theory · Physics 2010-04-06 J. S. Dowker

Recently, a new class of modified gravity theories formulated via an additional scalar and vector field on top of the standard tensor field has been proposed. The direct implications of these theories are expected to be relevant for…

General Relativity and Quantum Cosmology · Physics 2018-09-11 Phongpichit Channuie , Davood Momeni

From a new perspective, we discuss the thermodynamic entropy of $n+2$-dimensional Reissner-Nordstr\"om-de Sitter(RNdS) black hole and analyze the phase transition of the effective thermodynamic system. Considering the correlations between…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Ren Zhao , Li-Chun Zhang

We introduce a 'quasi-topological` term [1] in D=1+1 dimensions and the entropy for black holes is calculated [2]. The source of entropy in this case is justified by a non-null stress-energy tensor.

High Energy Physics - Theory · Physics 2007-05-23 Carlos Pinheiro , F. C. Khanna