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Here the Weyl curvature hypothesis is examined using the gravitational entropy (GE). We have considered the family of C-metric accelerating black holes and evaluated their corresponding gravitational entropy. Then we studied the GE in some…

广义相对论与量子宇宙学 · 物理学 2024-01-23 Samarjit Chakraborty

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…

广义相对论与量子宇宙学 · 物理学 2023-06-27 Sarbari Guha

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…

广义相对论与量子宇宙学 · 物理学 2015-06-15 Timothy Clifton , George F R Ellis , Reza Tavakol

In this paper we review Penrose's Weyl curvature conjecture which states that the concept of gravitational entropy and the Weyl tensor is somehow linked, at least in a cosmological setting. We give a description of a certain entity…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Oyvind Gron , Sigbjorn Hervik

Our Universe has an arrow of time. In accordance with the second law of thermodynamics, entropy has been increasing ever since the Big Bang. The fact that matter is in thermal equilibrium in the very early Universe, as indicated by the…

广义相对论与量子宇宙学 · 物理学 2020-07-30 Daniele Gregoris , Yen Chin Ong , Bin Wang

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…

广义相对论与量子宇宙学 · 物理学 2021-11-16 Taha A Malik , Rafael Lopez-Mobilia

In this paper we show that Quiescent Cosmology [1, 2, 3] is consistent with Penrose's Weyl Curvature Hypothesis and the notion of gravitational entropy [4]. Gravitational entropy, from a conceptual point of view, acts in an opposite fashion…

广义相对论与量子宇宙学 · 物理学 2012-12-18 Philip Threlfall , Susan M. Scott

Gravitational entropy is an elusive concept. Various theoretical proposals have been presented, initially based on Penrose's Weyl Curvature Hypothesis, and variations of it. A more recent proposal by Clifton, Ellis, and Tavakol (CET)…

广义相对论与量子宇宙学 · 物理学 2022-08-03 Fernando A. Pizaña , Roberto A. Sussman , Juan Carlos Hidalgo

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…

广义相对论与量子宇宙学 · 物理学 2025-04-16 Hideo Iguchi

We examine gravitational entropy growth within the formalism of Clifton, Ellis and Tavakol (CET) applied to a class of spherically symmetric exact solutions whose source is a shear-free fluid with energy flux in a comoving frame. By…

广义相对论与量子宇宙学 · 物理学 2025-09-30 Roberto A. Sussman , Sebastián Nájera , Fernando A. Pizaña , Juan Carlos Hidalgo

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…

宇宙学与河外天体物理 · 物理学 2015-03-19 Gustavo E. Romero , Romain Thomas , Daniela Pérez

A proposal for the gravitational energy-momentum tensor, known in the literature as the square root of Bel-Robinson tensor, is analyzed in detail. Being constructed exclusively from the Weyl part of the Riemann tensor, such tensor…

广义相对论与量子宇宙学 · 物理学 2018-03-16 Giovanni Acquaviva , David Kofroň , Martin Scholtz

Partly motivated by the arrow of time problem in cosmology and the Weyl curvature hypothesis formulated by Roger Penrose, previous works in the literature have proposed - among other possibilities - the square of the Weyl curvature, as…

广义相对论与量子宇宙学 · 物理学 2022-05-12 Daniele Gregoris , Yen Chin Ong

We discuss whether an appropriately defined dimensionless scalar function might be an acceptable candidate for the gravitational entropy, by explicitly considering Szekeres and Bianchi type VI$_{h}$ models that admit an isotropic…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Nicos Pelavas , Alan Coley

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Oystein Rudjord , Oyvind Gron

We focus on the Penrose's Weyl Curvature Hypothesis in a general framework encompassing many specific models discussed in literature. We introduce a candidate density for the Weyl entropy in pure spacetime perfect fluid regions and show…

微分几何 · 数学 2020-09-21 Francesco Belgiorno , Giovanni Catino

We examine the possibility that the gravitational contribution to the entropy of a system can be identified with some measure of the Weyl curvature. In this paper we consider homothetically self-similar spacetimes. These are believed to…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Nicos Pelavas , Kayll Lake

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…

广义相对论与量子宇宙学 · 物理学 2021-02-19 Sarbari Guha , Samarjit Chakraborty

The gravitational entropy proposal of Clifton, Ellis and Tavakol (CET) is based on an effective energy momentum tensor formed by the algebraic decomposition of the 4th order Bel-Robinson tensor. So far the application of the CET proposal…

广义相对论与量子宇宙学 · 物理学 2026-05-21 Maharshi Sarma , Sebastián Nájera , Roberto A. Sussman

The Weyl tensor is the trace-free part of the Riemann tensor. Therefore, it is independent of the energy-momentum tensor and is thus not linked to the dynamics of gravitational fields. In this paper, we explore its possible thermodynamical…

广义相对论与量子宇宙学 · 物理学 2016-03-23 Nan Li , Xiao-Long Li , Shu-Peng Song
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