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The statistical-mechanical origin of the Bekenstein-Hawking entropy $S^{BH}$ in the induced gravity is discussed. In the framework of the induced gravity models the Einstein action arises as the low energy limit of the effective action of…

高能物理 - 理论 · 物理学 2009-10-30 V. P. Frolov , D. V. Fursaev , A. I. Zelnikov

We demonstrate how Sakharov's idea of induced gravity allows one to explain the statistical-mechanical origin of the entropy of a black hole. According to this idea, gravity becomes dynamical as the result of quantum effects in the system…

高能物理 - 理论 · 物理学 2007-05-23 V. P. Frolov , D. V. Fursaev

The basic assumption of the induced gravity approach is that Einstein theory is an effective, low energy-form of a quantum theory of constituents. In this approach the Bekenstein-Hawking entropy S^{BH} of a black hole can be interpreted as…

广义相对论与量子宇宙学 · 物理学 2009-10-31 D. V. Fursaev

In this paper, we derive the Bekenstein-Hawking entropy by considering a Non-Commuting two dimensional quantized space, and we will show that the Bekenstein-Hawking entropy is valid for the system (black hole) in an equilibrium state. Also,…

广义相对论与量子宇宙学 · 物理学 2021-07-08 R. Hassannejad

It is argued that degrees of freedom responsible for the Bekenstein-Hawking entropy of a black hole in induced gravity are described by two dimensional quantum field theory defined on the bifurcation surface of the horizon. This result is…

高能物理 - 理论 · 物理学 2009-10-31 V. Frolov , D. Fursaev

We develop a method for computing the free-energy of a canonical ensemble of quantum fields near the horizon of a rotating black hole. We show that the density of energy levels of a quantum field on a stationary background can be related to…

广义相对论与量子宇宙学 · 物理学 2010-11-19 V. Frolov , D. Fursaev

For the BTZ black hole in the Einstein gravity, a statistical entropy has been calculated to be equal to the Bekenstein-Hawking entropy. In this paper, the statistical entropy of the BTZ black hole in the higher curvature gravity is…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Hiromi Saida , Jiro Soda

We have investigated quantum entropy of a static black hole arising from the massless scalar field with Lorentz violation induced by the coupling to Einstein tensor. Our results show that the coupled massless scalar field contributes to the…

广义相对论与量子宇宙学 · 物理学 2015-11-16 Songbai Chen , Jiliang Jing , Hao Liao

We study the validity of Bekenstein's entropy bound for a charged black hole in the context of nonlinear electrodynamics. Bekenstein's inequalities are commonly understood as universal relations between the entropy, the charge, the…

广义相对论与量子宇宙学 · 物理学 2021-04-30 F. T. Falciano , M. L. Peñafiel , J. C. Fabris

For the BTZ black hole in the Einstein gravity, a statistical entropy has been calculated. It is equal to the Bekenstein-Hawking entropy. In this article, its statistical entropy in the higer curvature gravity is calculated and shown to be…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Hiromi Saida , Jiro Soda

The Bekenstein-Hawking formula relates the black hole entropy and horizon area. Semiclassical entropy computations have relied on an action principle that fixes a gauge dependent and classically unobservable boundary three-geometry and…

高能物理 - 理论 · 物理学 2018-11-28 Thomas C. Bachlechner

We consider the Einstein-Gauss-Bonnet equations in five dimensions including a negative cosmological constant and a Maxwell field. Using an appropriate Ansatz for the metric and for the electromagnetic fields, we construct numerically black…

广义相对论与量子宇宙学 · 物理学 2011-12-01 Y. Brihaye

In this short essay we review the arguments showing that black hole entropy is, at least in part, ``entanglement entropy", i.e., missing information contained in correlations between quantum field fluctuations inside and outside the event…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Ted Jacobson

Black holes are thermodynamic objects, but despite recent progress, the ultimate statistical mechanical origin of black hole temperature and entropy remains mysterious. Here I summarize an approach in which the entropy is viewed as arising…

广义相对论与量子宇宙学 · 物理学 2010-04-28 Steven Carlip

It is shown that in the instanton approximation the rate of creation of black holes is always enhanced by a factor of the exponential of the black hole entropy relative to the rate of creation of compact matter distributions (stars). This…

广义相对论与量子宇宙学 · 物理学 2009-10-22 J. David Brown

The Euclidean action and entropy are computed in string-generated gravity models with quadratic curvatures, and used to argue that a negative mass extremal metric is the background for hyperbolic (k=-1) black hole spacetimes, k being the…

高能物理 - 理论 · 物理学 2009-11-07 Ishwaree P. Neupane

We review the renormalization of one-loop effective action for gravity coupled to a scalar field and that of the Bekenstein-Hawking entropy of a black hole plus the statistical entropy of the scalar field. It is found that the total entropy…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by 'trapping' a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index $\ell$ similar to the…

高能物理 - 理论 · 物理学 2017-02-03 Stefano Viaggiu

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…

广义相对论与量子宇宙学 · 物理学 2025-04-16 Xin-Yang Wang , Jie Jiang

We study the entropy relations of multi-horizons black holes in higher dimensional (A)dS spacetime with maximal symmetries, including Einstein-Maxwell gravity and $f(R)$(-Maxwell) gravity. These additional equalities in thermodynamics are…

广义相对论与量子宇宙学 · 物理学 2014-03-04 Jia Wang , Wei Xu , Xin-he Meng
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