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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…

High Energy Physics - Theory · Physics 2026-05-08 Netta Engelhardt , Ivri Nagar

We investigate the generalized second law of thermodynamics (GSL) in generalized theories of gravity. We examine the total entropy evolution with time including the horizon entropy, the non-equilibrium entropy production, and the entropy of…

High Energy Physics - Theory · Physics 2008-12-18 Shao-Feng Wu , Bin Wang , Guo-Hong Yang , Peng-Ming Zhang

We conjecture a novel Generalized Second Law that can be applied in cosmology, regardless of whether an event horizon is present: the generalized entropy increases monotonically outside of certain hypersurfaces we call past Q-screens. A…

High Energy Physics - Theory · Physics 2016-01-20 Raphael Bousso , Netta Engelhardt

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…

High Energy Physics - Theory · Physics 2026-01-08 Antoine Rignon-Bret , Matthieu Vilatte

What happens at spacetime singularities is poorly understood. The Penrose-Wall singularity theorem constrains possible scenarios, but until recently its key assumption--the generalized second law (GSL)--had only been proven perturbatively,…

High Energy Physics - Theory · Physics 2025-10-31 Arvin Shahbazi-Moghaddam

It is shown that all generalized two--dimensional dilaton theories with arbitrary matter content (with a curvature independent coupling to gravity) do not only obey a first law of black hole mechanics (which follows from Wald's general…

High Energy Physics - Theory · Physics 2009-10-31 Norbert Duechting , Thomas Strobl

Using the corrected entropy-area relation motivated by the loop quantum gravity, we investigate the validity of the generalized second law of thermodynamics in the framework of modified FRW cosmology. We consider a non-flat universe filled…

General Relativity and Quantum Cosmology · Physics 2011-04-21 K. Karami , A. Sheykhi , N. Sahraei , S. Ghaffari

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

General Relativity and Quantum Cosmology · Physics 2011-03-14 Nairwita Mazumder , Subenoy Chakraborty

The generalized second law (GSL) of black hole thermodynamics states that the sum of changes in black hole entropy and the ordinary entropy of matter and fields outside the hole must be non-negative. In the classical limit, the GSL reduces…

General Relativity and Quantum Cosmology · Physics 2013-05-28 Christopher Eling , Jacob D. Bekenstein

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…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Subenoy Chakraborty , Nairwita Mazumder , Ritabrata Biswas

The generalized second law is proven for semiclassical quantum fields falling across a causal horizon, minimally coupled to general relativity. The proof is much more general than previous proofs in that it permits the quantum fields to be…

General Relativity and Quantum Cosmology · Physics 2018-10-18 Aron C. Wall

We investigate the validity of the generalized second law of thermodynamics in a universe governed by Horava-Lifshitz gravity. Under the equilibrium assumption, that is in the late-time cosmological regime, we calculate separately the…

High Energy Physics - Theory · Physics 2011-03-28 Mubasher Jamil , Emmanuel N. Saridakis , M. R. Setare

The accretion of phantom fields by black holes within a thermodynamic context is addressed. For a fluid violating the dominant energy condition, case of a phantom fluid, the Euler and Gibbs relations permit two different possibilities for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. A. de Freitas Pacheco , J. E. Horvath

We investigate whether the generalized second law is valid, using two dimensional black hole spacetime, irrespective of models. A time derivative form of the generalized second law is formulated and it is shown that the law might become…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. Shimomura , T. Okamura , T. Mishima , H. Ishihara

By applying the generalized second law to the apparent horizon of a homogeneous and isotropic universe and imposing that the equation of state is no less than $-1$, it is seen that universes with either flat or closed spatial sections are…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Diego Pavon

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.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Shinji Mukohyama

A classical and quantum mechanical generalized second law of thermodynamics in cosmology implies constraints on the effective equation of state of the universe in the form of energy conditions, obeyed by many known cosmological solutions,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ram Brustein

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. Mohseni Sadjadi

We discuss the generalized second law of thermodynamics in three different systems by taking quantum corrections (logarithmic and power law) to cosmological horizon entropy as well as black hole entropy. Firstly, we consider phantom energy…

General Relativity and Quantum Cosmology · Physics 2015-06-15 M. Sharif , Abdul Jawad

General relativity successfully describes space-times at scales that we can observe and probe today, but it cannot be complete as a consequence of singularity theorems. For a long time there have been indications that quantum gravity will…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald
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