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We propose the use of a gravitational uncertainty principle for gravitation. We define the corresponding gravitational Planck's constant and the gravitational quantum of mass. We define entropy in terms of the quantum of gravity with the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Antonio Alfonso-Faus

The laws of mechanics of stationary black holes bear a close resemblance with the laws of thermodynamics. This is not only a mathematical analogy but also a physical one that helps us answer deep questions related to the thermodynamic…

General Relativity and Quantum Cosmology · Physics 2010-07-26 Diptarka Das

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…

General Relativity and Quantum Cosmology · Physics 2021-09-07 Bruno Arderucio-Costa

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

In classical general relativity described by Einstein-Hilbert gravity, black holes behave as thermodynamic objects. In particular, the laws of black hole mechanics can be interpreted as laws of thermodynamics. The first law of black hole…

High Energy Physics - Theory · Physics 2017-04-05 Sayantani Bhattacharyya , Felix M. Haehl , Nilay Kundu , R. Loganayagam , Mukund Rangamani

We construct a proof of the second law of thermodynamics in an arbitrary diffeomorphism invariant theory of gravity working within the approximation of linearized dynamical fluctuations around stationary black holes. We achieve this by…

High Energy Physics - Theory · Physics 2021-10-05 Sayantani Bhattacharyya , Prateksh Dhivakar , Anirban Dinda , Nilay Kundu , Milan Patra , Shuvayu Roy

We define, by an integral of geometric quantities over a spherical shell of arbitrary radius, an invariant gravitational entropy. This definition relies on defining a gravitational energy and pressure, and it reduces at the horizon of both…

High Energy Physics - Theory · Physics 2015-06-03 Ram Brustein , A. J. M. Medved

The Bekenstein-Hawking entropy satisfies the generalized second law of black hole thermodynamics for arbitrary thermodynamic evolution within Einstein-Maxwell theory. In contrast, the black hole entropy that satisfies the second law in…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Xin-Yang Wang , Jie Jiang

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

The analogy between the laws of black hole mechanics and the laws of thermodynamics led Bekenstein and Hawking to argue that black holes should be considered as real thermodynamic systems that are characterised by entropy and temperature.…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Dimitris Moustos

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

I describe how gravitational entropy is intimately connected with the concept of gravitational heat, expressed as the difference between the total and free energies of a given gravitational system. From this perspective one can compute…

General Relativity and Quantum Cosmology · Physics 2022-10-12 R. B. Mann

The thermodynamic second law in the evaporating black hole space-time is examined in the context of two-dimensional dilaton black hole. The dynamical evolution of entropy is investigated by using the analytical perturbation method and the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Kouichirou Hirata , Yoshi Fujiwara , Jiro Soda

The concept of entropy forms the backbone of the principles of thermodynamics. R.C. Tolman initiated the correlation between gravity and thermodynamics. The development of black hole thermodynamics and the generalized second law of…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Sarbari Guha

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 investigate the second law of black hole mechanics in gravitational theories with higher derivative terms in the action. Wall has described a method for defining an entropy that satisfies the second law to linear order in perturbations…

High Energy Physics - Theory · Physics 2022-08-29 Stefan Hollands , Áron D. Kovács , Harvey S. Reall

We discuss some recent results on black hole thermodynamics within the context of effective gravitational actions including higher-curvature interactions. Wald's derivation of the First Law demonstrates that black hole entropy can always be…

General Relativity and Quantum Cosmology · Physics 2016-08-31 TED JACOBSON , GUNGWON KANG , ROBERT C. MYERS

The extended black hole thermodynamics in which the cosmological constant plays the role of pressure significantly enriches the phase structure of the theory. In order to understand the extended black hole thermodynamics more precisely, we…

General Relativity and Quantum Cosmology · Physics 2022-01-05 De-Chang Dai , Djordje Minic , Dejan Stojkovic

The thermodynamic properties of black holes have been extensively studied through analogies with classical systems, revealing fundamental connections between gravitation, entropy, and quantum mechanics. In this work, we extend the…

General Relativity and Quantum Cosmology · Physics 2026-02-26 S. D Campos

An interesting question to explore in physics classes is whether gravity violates the second law of thermodynamics. Standard physics textbooks provide little to no discussion of the relationship between entropy and gravity, and the same is…

General Physics · Physics 2026-05-19 Jorge Pinochet , Giorgio Sonnino
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