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The thermodynamic properties of dark energy-dominated universe in the presence of a black hole are investigated in the general case of a varying equation-of-state-parameter $w(a)$. We show that all the thermodynamics quantities are regular…

General Relativity and Quantum Cosmology · Physics 2015-03-14 Khireddine Nouicer

By dropping particles into black hole, we have employed the recently new assumption [1] that the change of the black hole mass(enthalpy) should be the same amount as the energy of an infalling particle($\omega = dM$), to carefully test the…

General Relativity and Quantum Cosmology · Physics 2021-05-18 Guo-Ping Li , Ke-Jian He , Bing-Bing Chen

A property well known as the first law of black hole is a relation among infinitesimal variations of parameters of stationary black holes. We consider a dynamical version of the first law, which may be called the first law of black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Shinji Mukohyama , Sean A. Hayward

It is established that black holes have entropy and behave as thermodynamical systems. Associating entropy to gravitational fields has not remained limited to black holes, necessitating the notion of the second law of thermodynamics in…

High Energy Physics - Theory · Physics 2026-03-26 V. R. Shajiee , M. M. Sheikh-Jabbari

The fate of black hole thermodynamics under Weyl transformations is investigated by going back to the laws of black hole mechanics. It is shown that the transformed surface gravity, that one would identify with the black hole temperature in…

General Relativity and Quantum Cosmology · Physics 2018-11-30 Fayçal Hammad , Étienne Massé , Patrick Labelle

Israel's proof of the third law of black hole dynamics is based on the semi-rigidity assumption which requires that the areas of the outermost trapped surfaces are preserved. We argue that the condition that the area of the event horizon…

General Relativity and Quantum Cosmology · Physics 2018-05-22 Koray Düztaş

On the premise of the importance of energy conditions for regular black holes, we propose a method to remedy those models that break the dominant energy condition, e.g., the Bardeen and Hayward black holes. We modify the metrics but ensure…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Chen Lan , Yan-Gang Miao , Yi-Xiong Zang

The Weak Gravity Conjecture arises from the requirement that it be possible for all (classically stable) extremal black holes to decay. The ``black hole version'' of the conjecture requires that it should be possible for this to occur…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Brett McInnes

The thermodynamics and weak cosmic censorship conjecture in extended phase spaces of charged anti-de Sitter black holes describing the massive gravity are investigated by the absorptions of the scalar particle and fermion. The cosmological…

High Energy Physics - Theory · Physics 2019-05-22 Deyou Chen

Recently a number of papers have claimed that the horizon area - and thus the entropy - of near extremal black holes in anti-de Sitter spacetimes can be reduced by dropping particles into them. In this note we point out that this is a…

General Relativity and Quantum Cosmology · Physics 2019-11-20 Shi-Qian Hu , Yen Chin Ong , Don N. Page

We point out that the Weak Gravity Conjecture (WGC) implies that sufficiently small extremal black holes are necessarily in the strong-field regime of electrodynamics, and therefore probe the UV completion of the Maxwell sector. To…

High Energy Physics - Theory · Physics 2025-10-21 Sergio Barbosa , Sylvain Fichet , Lucas de Souza

Many fundamental issues remain for black hole thermodynamics after almost half a century of its conception. For example, what are the underlying degrees of freedom of a black hole horizon that give rise to said thermodynamical properties?…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Yen Chin Ong

There are some examples in the literature, in which despite the fact that the underlying theory or model does not impose a lower bound on the size of black holes, the final temperature under Hawking evaporation is nevertheless finite and…

General Relativity and Quantum Cosmology · Physics 2019-06-25 Yuan Yao , Meng-Shi Hou , Yen Chin Ong

The generalized second law states the total entropy of any closed system as the universe cannot decrease if we include black hole entropy. From the point of view of an asymptotic observer, a black hole can be described at late time as an…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Antoine Rignon-Bret

We derive the so-called first law of black hole mechanics for variations about stationary black hole solutions to the Einstein--Maxwell equations in the absence of sources. That is, we prove that $\delta M=\kappa\delta A+\omega\delta J+VdQ$…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Rafael D. Sorkin , Madhavan Varadarajan

We consider two non-statistical definitions of entropy for dynamic (non-stationary) black holes in spherical symmetry. The first is analogous to the original Clausius definition of thermodynamic entropy: there is a first law containing an…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Sean A. Hayward , Shinji Mukohyama , M. C. Ashworth

We study the variation of the massive black hole in both normal and extended thermodynamic phase spaces via two methods. The first method includes a charged particle absorbed by the black hole, while the second method includes a shell of…

General Relativity and Quantum Cosmology · Physics 2020-10-02 Shi-Qian Hu , Bo Liu , Xiao-Mei Kuang , Rui-Hong Yue

A promising theory in modifying general relativity by violating the ordinary energy-momentum conservation law in curved spacetime is the Rastall theory of gravity. In this theory, geometry and matter fields are coupled to each other in a…

General Relativity and Quantum Cosmology · Physics 2018-03-12 Iarley P. Lobo , H. Moradpour , J. P. Morais Graça , I. G. Salako

The initial idea underlying the Weak Gravity Conjecture is that extremal black holes must always be "unstable", in the sense that they should slowly decay by emitting either particles or smaller black holes. Here we show that, when this…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Brett McInnes

The seminal works of Bekenstein and Hawking have revealed that black holes have a well-defined thermodynamic description. In particular, it is often stated in the physical literature that black holes, like mundane physical systems, obey the…

High Energy Physics - Theory · Physics 2016-08-22 Shahar Hod