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The generalized second law of black hole thermodynamics was proved by Frolov and Page for a quasi-stationary eternal black hole. However, realistic black holes arise from a gravitational collapse, and in this case their proof does not hold.…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Shinji Mukohyama

The generalized second law of thermodynamics for a system containing a black hole dynamical horizon is proposed in a covariant way. Its validity is also tested in case of adiabatically collapsing thick light shells.

广义相对论与量子宇宙学 · 物理学 2008-11-26 Song He , Hongbao Zhang

We prove a singularity theorem in semiclassical gravity without assuming global hyperbolicity or the null energy/curvature condition; the former is replaced by the weaker causality conditions of stable causality and past reflectivity, and…

高能物理 - 理论 · 物理学 2026-05-08 Netta Engelhardt , Ivri Nagar

This Letter considers the generalized second law of gravitational thermodynamics in two scenarios featuring a phantom dominated expansion plus a black hole. The law is violated in both scenarios.

广义相对论与量子宇宙学 · 物理学 2008-11-26 German Izquierdo , Diego Pavon

The generalized second law (GSL) of black hole thermodynamics asserts the monotonic increase of the generalized entropy combining the black hole area and the entropy of quantum fields outside the horizon. Modern proofs of the GSL rely on…

高能物理 - 理论 · 物理学 2026-01-08 Antoine Rignon-Bret , Matthieu Vilatte

Several comments are given to previous proofs of the generalised second law of thermodynamics: black hole entropy plus ordinary matter entropy never decreases for a thermally closed system. Arguments in favour of its truism are given in the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. -T. Sung

The generalized second law can be used to prove a singularity theorem, by generalizing the notion of a trapped surface to quantum situations. Like Penrose's original singularity theorem, it implies that spacetime is null geodesically…

广义相对论与量子宇宙学 · 物理学 2016-12-07 Aron C. Wall

The first and second laws of black hole thermodynamics are verified to emerge from a generic semiclassical theory of gravity for which a Hamiltonian can be defined. The first law is established for stationary spacetimes, and the second law…

广义相对论与量子宇宙学 · 物理学 2021-09-07 Bruno Arderucio-Costa

I present a formulation of the second law of thermodynamics in the presence of black holes which makes use of the efficiency of an ideal machine extracting heat cyclically from a black hole. The Carnot coefficient is found and it is shown…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Scandurra

Recent developments point to a breakdown in the generalized second law of thermodynamics for theories with Lorentz symmetry violation. It appears possible to construct a perpetual motion machine of the second kind in such theories, using a…

高能物理 - 理论 · 物理学 2014-11-18 Ted Jacobson , Aron C. Wall

Black hole thermodynamics provides a unique setting in which general relativity, quantum field theory, and statistical mechanics converge. In semiclassical gravity, this interplay culminates in the generalized second law (GSL), whose modern…

高能物理 - 理论 · 物理学 2026-01-08 Antoine Rignon-Bret , Matthieu Vilatte

We consider the duality of the quasilocal black hole thermodynamics, explicitly the quasilocal black hole thermodynamic first law, in BTZ black hole solution as a special one of the three-dimensional low energy effective string theory.

广义相对论与量子宇宙学 · 物理学 2008-11-26 Jeongwon Ho , Won T. Kim , Young-Jai Park

We propose an extension of the original thought experiment proposed by Geroch, which sparked much of the actual debate and interest on black hole thermodynamics, and show that the generalized second law of thermodynamics is in compliance…

广义相对论与量子宇宙学 · 物理学 2009-11-11 George E. A. Matsas , Andre R. Rocha da Silva

In black hole physics, the second law of thermodynamics is generally valid whether the black hole is a static or a non-static one. Considering the universe as a thermodynamical system the second law of black hole dynamics extends to the…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Subenoy Chakraborty , Nairwita Mazumder , Ritabrata Biswas

Black holes have often provided profound insights into the nature of gravity and the structure of space-time. The study of the mathematical properties of black objects is a major research theme of contemporary theoretical physics. This…

高能物理 - 理论 · 物理学 2019-05-14 Sudipta Sarkar

We investigate the generalized second law for two-dimensional black holes in equilibrium (Hartle-Hawking) and nonequilibrium (Unruh) with the heat bath surrounding the black holes. We obtain a simple expression for the change of total…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Jeongwon Ho

We review the remarkable relationship between the laws of black hole mechanics and the ordinary laws of thermodynamics. It is emphasized that - in analogy with the laws of thermodynamics - the validity the laws of black hole mechanics does…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Robert M. Wald

We study the conditions required for validity of the generalized second law in phantom dominated universe in the presence of Schwarzschild black hole. Our study is independent of the origin of the phantom like behavior of the considered…

广义相对论与量子宇宙学 · 物理学 2008-11-26 H. Mohseni Sadjadi

In this paper, the non-generalized or restricted second law blackhole dynamics as given by Bekenstein in the beginning is restated, with a rigid proof, in a different form akin to the statement of the second law of thermodynamics given by…

综合物理 · 物理学 2011-03-07 Koustubh Ajit Kabe

We review the present status of black hole thermodynamics. Our review includes discussion of classical black hole thermodynamics, Hawking radiation from black holes, the generalized second law, and the issue of entropy bounds. A brief…

广义相对论与量子宇宙学 · 物理学 2016-04-27 Robert M. Wald
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