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The equivalence principle and its universality enables the geometrical formulation of gravity. In the standard formulation of General Relativity \'a la Einstein, the gravitational interaction is geometrized in terms of the spacetime…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Lavinia Heisenberg , Simon Kuhn , Laurens Walleghem

In [arXiv:2105.06455, arXiv:2206.04538], the authors have been able to argue for an ultra-local version of the second law of black hole mechanics, for arbitrary diffeomorphism invariant theories of gravity non-minimally coupled to matter…

High Energy Physics - Theory · Physics 2024-07-24 Alokananda Kar , Prateksh Dhivakar , Shuvayu Roy , Binata Panda , Anowar Shaikh

We study the perturbation induced by a slowly rotating massive object as it passes through a Rindler horizon. It is shown that the passage of this object can be approximately modeled as Delta\,function type tidal distortions hitting the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Srijit Bhattacharjee , Sudipta Sarkar

The mechanical first law (MFL) of black hole spacetimes is a geometrical relation which relates variations of mass parameter and horizon area. While it is well known that the MFL of asymptotic flat black hole is equivalent to its…

General Relativity and Quantum Cosmology · Physics 2009-05-20 Miho Urano , Akira Tomimatsu , Hiromi Saida

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 treat two aspects of the physics of stationary black holes. First we prove that the proportionality, d(energy) ~ d(area) for arbitrary perturbations (``extended first law''), follows directly from an extremality theorem drawn from…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rafael D. Sorkin

A framework was recently introduced to generalize black hole mechanics by replacing stationary event horizons with isolated horizons. That framework is significantly extended. The extension is non-trivial in that not only do the boundary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Abhay Ashtekar , Stephen Fairhurst , Badri Krishnan

In AdS/CFT, how is the bulk first law realized in the boundary CFT? Recently, Faulkner et al. showed that in certain holographic contexts, the bulk first law has a precise microscopic interpretation as a first law of entanglement entropy in…

High Energy Physics - Theory · Physics 2014-11-04 William R. Kelly

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories, I show…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip

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

This study investigates the implications of adopting fractional entropy in the area law framework and demonstrates its natural alignment with an isothermal description of black hole composition. We discuss the Zeroth law compatibility of…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Manosh T. Manoharan , N. Shaji

In the Letter [1] (also [2]) there is a claim that the generalised second law of thermodynamics (entropy increase) for black holes provides some limits on the rate of variation of the fundamental constants of nature (electric charge e,…

General Relativity and Quantum Cosmology · Physics 2009-02-27 V. V. Flambaum

Black hole thermodynamics provides a rare window into the elusive quantum nature of gravity. In the first-order formalism for gravitational theories, where torsion and gauge freedom are present, it has been suggested that the first law of…

General Relativity and Quantum Cosmology · Physics 2025-12-15 O. Ramirez , Y. Bonder

We examine the second law of thermodynamics in the context of horizon cosmology, in particular, whether the change of total entropy (i.e. the sum of the entropy for the apparent horizon and the entropy for the matter fields) proves to be…

General Relativity and Quantum Cosmology · Physics 2024-04-09 Sergei D. Odintsov , Tanmoy Paul , Soumitra SenGupta

The issue of black hole entropy is reexamined within a finite lattice framework along the lines of Wheeler, 't Hooft and Susskind, with an additional criterion to identify physical horizon states contributing to the entropy. As a…

High Energy Physics - Theory · Physics 2007-05-23 Parthasarathi Majumdar

A general formula for the entropy of stationary black holes in Lovelock gravity theories is obtained by integrating the first law of black hole mechanics, which is derived by Hamiltonian methods. The entropy is not simply one quarter of the…

High Energy Physics - Theory · Physics 2009-10-22 Ted Jacobson , Robert C. Myers

The entropy force is the collective effect of inhomogeneity in disorder in a statistical many particle system. We demonstrate its presumable effect on one particular astrophysical object, the black hole. We then derive the kinetic equations…

Statistical Mechanics · Physics 2019-09-24 R. A. Treumann , Wolfgang Baumjohann

We consider the first laws of thermodynamics for a pair of systems made up of the two horizons of a Kerr-Newman black hole. These two systems are constructed in such a way that we only demand their ``horizon areas'' to be the sum and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 S. Q. Wu

In this paper, we examine the validity of the first law of inner mechanics of black holes in Generalized Minimal Massive Gravity. We consider BTZ and spacelike warped black holes and show that the first law of inner mechanics is valid for…

High Energy Physics - Theory · Physics 2018-09-26 M. R. Setare , H. Adami

We consider a general, classical theory of gravity in $n$ dimensions, arising from a diffeomorphism invariant Lagrangian. In any such theory, to each vector field, $\xi^a$, on spacetime one can associate a local symmetry and, hence, a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert M. Wald
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