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Hawking's black hole area theorem provides a geometric realization of the second law of thermodynamics and constrains gravitational processes. In this work we explore a one-parameter extension of this constraint formulated in terms of the…

High Energy Physics - Theory · Physics 2024-11-14 Alice Bernamonti , Federico Galli , Robert C. Myers , Ignacio A. Reyes

We investigate the thermodynamics, topology, and geometry of black holes in Lorentz-violating gravity. Modifications in the theory by perturbative parameter lead to coupled changes in horizon structure and thermodynamic behaviour, allowing…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Ankit Anand , Aditya Singh , Anshul Mishra , Saeed Noori Gashti , Takol Tangphati , Phongpichit Channuie

In this review we try to give a pedagogical introduction to the recent progress in the resolution of old problems of black hole thermodynamics within superstring theory. We start with a brief description of classical black hole dynamics.…

High Energy Physics - Theory · Physics 2009-10-30 E. T. Akhmedov

One of the main goals of contemporary theoretical physics is to find the quantum theory of gravity. There are various working hypotheses, mostly operating in the regime of high-energy physics well above the reach of particle accelerators.…

General Relativity and Quantum Cosmology · Physics 2022-04-01 Samuel Kováčik

The study of black hole thermodynamics becomes a central topic in gravitational physics, where the first law and the Smarr relation establish a deep connection between spacetime geometry and thermodynamic laws. As we know, these relations…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Usman Zafar , Krishnakanta Bhattacharya , Kazuharu Bamba

The introduction of thermodynamics into gravitational physics began 5 decades ago with the discovery that black holes behave like thermodynamic systems once semiclassical quantum effects are taken into account. Notions of temperature,…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Robert B. Mann

We study a system of two charged non-rotating black holes separated by a strut. Using the exact solution of the Einstein-Maxwell equations, which describes this system, we construct a consistent form of the first law of thermodynamics. We…

General Relativity and Quantum Cosmology · Physics 2020-02-27 Pavel Krtouš , Andrei Zelnikov

We re-derive the first law of black hole mechanics in the context of the Einstein-Maxwell theory in a gauge-invariant way introducing "momentum maps" associated to field strengths and the vectors that generate their symmetries. These…

High Energy Physics - Theory · Physics 2020-06-23 Zachary Elgood , Patrick Meessen , Tomas Ortin

Analysis of black hole spacetimes requires study of the motion of particles and light in these spacetimes. Here exact solutions of the geodesic equations are the means of choice. Numerous interesting black hole spacetimes have been analyzed…

General Relativity and Quantum Cosmology · Physics 2022-06-14 Saskia Grunau , Jutta Kunz

At the 20-th Texas Symposium on Relativistic Astrophysics there was a plenary talk devoted to the recent developments in classical Relativity. In that talk the problems of gravitational collapse, collisions of black holes, and of black…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Igor D. Novikov

We portray the structure of quantum gravity emerging from recent progress in understanding the quantum mechanics of an evaporating black hole. Quantum gravity admits two different descriptions, based on Euclidean gravitational path integral…

High Energy Physics - Theory · Physics 2021-03-31 Yasunori Nomura

In this work we study a {\it gedanken} experiment constructed in order to test the cosmic censorship hypothesis and the second law of black hole thermo-dynamics. Matter with a negative gravitating energy is imagined added to a near extremal…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Bjorn Jensen

This is a review of current theory of black-hole dynamics, concentrating on the framework in terms of trapping horizons. Summaries are given of the history, the classical theory of black holes, the defining ideas of dynamical black holes,…

General Relativity and Quantum Cosmology · Physics 2009-02-28 Sean A. Hayward

What is going on (as of August 2008) at the interface between theoretical general relativity, string-inspired models, and observational astrophysics? Quite a lot. In this mini-survey I will make a personal choice and focus on four specific…

General Relativity and Quantum Cosmology · Physics 2010-02-16 Matt Visser

In gauge invariant theories, like Einstein-Maxwell theory, physical observables should be gauge invariant. In particular, mass, entropy, angular momentum, electric charge and their respective chemical potentials, temperature, horizon…

High Energy Physics - Theory · Physics 2022-11-21 K. Hajian , M. M. Sheikh-Jabbari , B. Tekin

We discuss some thermodynamical definitions for black holes in modified theories of gravity.

General Relativity and Quantum Cosmology · Physics 2018-01-17 Lorenzo Sebastiani

Here we apply the Generalized Second Law of Thermodynamics (GSL) to black holes accreting and emitting in the present Universe and derive upper limits on the variation in the gravitational constant G. The limits depend on how the…

Astrophysics · Physics 2007-06-21 Jane H MacGibbon

A general Hamiltonian approach to black hole thermodynamics is used to study entropy and conserved charges for Kerr-AdS solutions in general relativity. These thermodynamic variables are first consistently defined by choosing suitable…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Milutin Blagojević , Branislav Cvetković

Renewed interest in deriving gravity (more precisely, the Einstein equations) from thermodynamics considerations [1, 2] is stirred up by a recent proposal that 'gravity is an entropic force' [3] (see also [4]). Even though I find the…

General Relativity and Quantum Cosmology · Physics 2011-05-25 B. L. Hu

We consider a system of black holes -- a simplest substitute of a system of point particles in the mechanics of general relativity -- and try to describe their motion with the help of entropic action: a sum of the areas of black hole…

High Energy Physics - Theory · Physics 2015-05-18 A. Morozov