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Pure thermodynamical considerations to describe the entropic evolution of the universe seem to violate the Second Law of Thermodynamics. This suggests that the gravitational field itself has entropy. In this paper we expand recent work done…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Gustavo E. Romero , Romain Thomas , Daniela Pérez

We propose a thermodynamically motivated measure of gravitational entropy based on the Bel-Robinson tensor, which has a natural interpretation as the effective super-energy-momentum tensor of free gravitational fields. The specific form of…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Timothy Clifton , George F R Ellis , Reza Tavakol

Classical invariants of General Relativity can be used to approximate the entropy of the gravitational field. In this work, we study two proposed estimators based on scalars constructed out from the Weyl tensor, in Kerr spacetime. In order…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Daniela Pérez , Gustavo E. Romero

The universe today, with structure such as stars, galaxies and black holes, seems to have evolved from a very homogeneous initial state. From this it appears as if the entropy of the universe is decreasing, in violation of the second law of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Oystein Rudjord , Oyvind Gron

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

Starting from an effective action for quantum gravity, we calculate the quantum gravitational corrections to the Wald entropy of a four dimensional non-extremal Reissner-Nordstr\"om (RN) black hole in the limit of small electric charge,…

High Energy Physics - Theory · Physics 2023-05-23 Ruben Campos Delgado

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

It is established that black holes have entropy and behave as thermodynamical systems. Associating entropy to gravitational fields has not remained limited to black holes, necessitating the notion of the second law of thermodynamics in…

High Energy Physics - Theory · Physics 2026-03-26 V. R. Shajiee , M. M. Sheikh-Jabbari

Penrose suggested that issues with the origin of the second law of thermodynamics and the remarkable homogeneous and isotropic nature of the universe on large scales can be resolved with a concept of an entropy for gravitational fields…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Taha A Malik , Rafael Lopez-Mobilia

We calculate quantum gravitational corrections to the entropy of black holes using the Wald entropy formula within an effective field theory approach to quantum gravity. The corrections to the entropy are calculated to second order in…

High Energy Physics - Theory · Physics 2021-09-22 Xavier Calmet , Folkert Kuipers

We analyze the gravitational entropy defined by the Weyl curvature for the Hayward black hole, which is one of the regular black holes without singularity in the event horizon. Using the definition by the ratio of the Weyl curvature scalar…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Hideo Iguchi

Black hole thermodynamics is the area of study that seeks to reconcile the laws of thermodynamics with the existence of black hole event horizons. Here we calculate the entropy corresponding to the interior of a Schwarzschild black hole for…

General Physics · Physics 2019-02-28 Sandip Dutta , Ritabrata Biswas

In this paper we have examined the validity of a proposed definition of gravitational entropy in the context of accelerating black hole solutions of the Einstein field equations, which represent the realistic black hole solutions. We have…

General Relativity and Quantum Cosmology · Physics 2021-02-19 Sarbari Guha , Samarjit Chakraborty

The entropy of a Ba\~nados, Teitelboim, and Zanelli black hole in topologically massive gravity had been given with the form inconsistent with the Bekenstein-Hawking entropy. In the paper, we provide a consistent statistical interpretation…

High Energy Physics - Theory · Physics 2013-12-12 Baocheng Zhang

If simple entropy in the Bekenstein-Hawking area law for a Schwarzschild black hole is replaced with 'negative' quantum conditional entropy, which quantifies quantum entanglement, of positive-energy particles of the black hole relative to…

High Energy Physics - Theory · Physics 2025-04-04 Koji Azuma , Go Kato

Microscopic black holes are sensitive to higher dimension operators in the gravitational action. We compute the influence of these operators on the Schwarzschild solution using perturbation theory. All (time reversal invariant) operators of…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Ming Lu , Mark B. Wise

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 role of torsion in quantum three-dimensional gravity is investigated by studying the partition function of the Euclidean theory in Riemann-Cartan spacetime. The entropy of the black hole with torsion is found to differ from the standard…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Blagojevic , B. Cvetkovic

In Poincar\'e gauge theory, black hole entropy is defined canonically by the variation of a boundary term $\Gamma_H$, located at horizon. For a class of static and spherically symmetric black holes in vacuum, the explicit formula reads…

General Relativity and Quantum Cosmology · Physics 2022-02-21 Milutin Blagojević , Branislav Cvetković

Recently, exotic black holes whose masses and angular momenta are interchanged have been found, and it is known that their entropies depend only on the $inner$ horizon areas. But a basic problem of these entropies is that the second law of…

High Energy Physics - Theory · Physics 2008-11-26 Mu-In Park
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