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We examine counterparts of the Reissner-Nordstrom-anti-de Sitter black hole spacetimes in which the two-sphere has been replaced by a surface Sigma of constant negative or zero curvature. When horizons exist, the spacetimes are black holes…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Dieter R. Brill , Jorma Louko , Peter Peldan

Although the laws of thermodynamics are well established for black hole horizons, much less has been said in the literature to support the extension of these laws to more general settings such as an asymptotic de Sitter horizon or a Rindler…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Ted Jacobson , Renaud Parentani

Applying the first law of thermodynamics to the apparent horizon of a Friedmann-Robertson-Walker universe and assuming the geometric entropy given by a quarter of the apparent horizon area, we derive the Friedmann equations describing the…

High Energy Physics - Theory · Physics 2009-11-11 Rong-Gen Cai , Sang Pyo Kim

The generalized second law of thermodynamics states that entropy always increases when all event horizons are attributed with an entropy proportional to their area. We test the generalized second law by investigating the change in entropy…

Astrophysics · Physics 2009-11-07 Tamara M. Davis , P. C. W. Davies , Charles H. Lineweaver

Based on the entropy relations, we derive thermodynamic bound for entropy and area of horizons of Schwarzschild-dS black hole, including the event horizon, Cauchy horizon and negative horizon (i.e. the horizon with negative value), which…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Wei Xu , Jia Wang , Xin-he Meng

We study evolution and thermodynamics of a slow-roll transition between early and late time de Sitter phases, both in the homogeneous case and in the presence of a black hole, in a scalar field model with a generic potential having both a…

High Energy Physics - Theory · Physics 2017-11-22 Ruth Gregory , David Kastor , Jennie Traschen

We have investigated the thermodynamical properties of the universe with dark energy. It is demonstrated that in a universe with spacial curvature the natural choice for IR cutoff could be the apparent horizon radius. We shown that any…

High Energy Physics - Theory · Physics 2011-07-04 Bin Liu , Xian-Ru Hu , Jian-Bo Deng

The Friedmann equations of general relativity can be derived from the first law of thermodynamics when the entropy of the apparent horizon of a spatially isotropic universe is given by the Bekenstein-Hawking entropy. We point out that if…

General Relativity and Quantum Cosmology · Physics 2009-11-19 James E. Lidsey

Using perturbative techniques, we investigate the existence and properties of a new static solution for the Einstein equation with a negative cosmological constant, which we call the deformed black hole. We derive a solution for a static…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hirotaka Yoshino , Tohru Ohba , Akira Tomimatsu

In this paper we revisit the relation between the Friedmann equations and the first law of thermodynamics. We find that the unified first law firstly proposed by Hayward to treat the "outer"trapping horizon of dynamical black hole can be…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rong-Gen Cai , Li-Ming Cao

The close similarities of the three laws of black hole mechanics, discovered by Bardeen, Carter and Hawking, with the laws of thermodynamics led to the identification of a multiple of the area of the event horizon with entropy. However,…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Abhay Ashtekar , Daniel E. Paraizo , Jonathan Shu

We explore the relationship between the first law of thermodynamics and gravitational field equation at a static, spherically symmetric black hole horizon in Ho\v{r}ava-Lifshtiz theory with/without detailed balance. It turns out that as in…

High Energy Physics - Theory · Physics 2010-05-07 Rong-Gen Cai , Nobuyoshi Ohta

We propose a modified gravity theory by extending the Einstein-Hilbert action with an arbitrary function of the Ricci scalar and the Kretschmann scalar invariants. The resulting modified Friedmann equations for a spatially flat FRW universe…

General Relativity and Quantum Cosmology · Physics 2026-05-29 A. Dehyadegari , A. Sheykhi

We investigate thermodynamic behaviors of the $D$-dimensional gravity coupled to a dynamical unit timelike vector, the aether, present two kinds of exact charged solutions and study the linearized wave spectrum of this theory. There is an…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Chikun Ding , Anzhong Wang

In this work, we establish the corrected first law of thermodynamics for dynamical regular black holes on both the event horizon and apparent horizon. We find that the temperature of dynamical regular black holes derived from the…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Tianxu Huo , Chengzhou Liu

We derive the modified Friedmann equation corresponding to the power-law corrected entropy-area relation $S_{\rm A}=\frac{A}{4}[1-K_{\alpha} A^{1-\frac{\alpha}{2}}]$ which is motivated by the entanglement of quantum fields in and out of the…

General Physics · Physics 2011-09-07 K. Karami , A. Abdolmaleki , N. Sahraei , S. Ghaffari

Although previous results have ruled out the possibility of a static horizon in cosmology, we present black hole and white hole metrics that retain static horizons while reproducing cosmological behavior at large distances. Using an…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Ida M. Rasulian , Amjad Ashoorioon

The conformal thermodynamics of rotating charged black holes in general relativity and string theory is proposed by considering the first laws of thermodynamics for a pair of systems made up of the two horizons of a Kerr-Newman or Kerr-Sen…

High Energy Physics - Theory · Physics 2007-05-23 Shuang-Qing Wu

We analyse the laws of thermodynamics governing the behaviour of cosmological horizons in de Sitter space and their map to a holographic description at future infinity, $\mathcal{I}^+$. In this case, the boundary can receive signals from…

High Energy Physics - Theory · Physics 2026-04-29 Indranil Dey , Kanhu Kishore Nanda , Akashdeep Roy , Deepak Kumar Sharma , Sandip P. Trivedi

We study a modified horizon thermodynamics and the associated criticality for rotating black hole spacetimes. Namely, we show that under a virtual displacement of the black hole horizon accompanied by an independent variation of the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Devin Hansen , David Kubiznak , Robert B. Mann