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We show that in the standard derivation of the holographic dark energy some conceptual issues are present. In particular, the formula used in the literature to avoid black holes is not suitable in expanding universes. A more suitable…

General Relativity and Quantum Cosmology · Physics 2013-12-11 Stefano Viaggiu

We estimate the canonical entropy of a quantum black hole by counting its quasi-normal modes. We first show that the partition function of a classical black hole, evaluated by counting the quasi-normal modes with a thermodyanmic Boltzmann…

High Energy Physics - Theory · Physics 2023-05-03 Naritaka Oshita , Niayesh Afshordi

We present the quantization of the electromagnetic field near the event horizon of a Schwarzschild black hole using Euclidean path integrals. Our result for the vacuum energy describes a black hole surrounded by a finite volume of photons…

High Energy Physics - Theory · Physics 2026-02-03 Victor H. Alencar

In gravitational collapses, the horizon and singularity's realisation in the finite future of the proper time used co-moving observer happens in the future of infinitely far away future of the normal time used outside probe. To the latter…

General Relativity and Quantum Cosmology · Physics 2024-04-10 Ding-fang Zeng

Recent results on the end of black hole evaporation give new weight to the hypothesis that a component of dark matter could be formed by remnants of evaporated black holes: stable Planck-size white holes with a large interior. The expected…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Carlo Rovelli , Francesca Vidotto

Hawking showed that a black hole formed by collapse will emit radiation and eventually disappear. We address the challenge to define an objective notion of physical entropy which increases throughout this process in a way consistent with…

General Relativity and Quantum Cosmology · Physics 2023-12-18 Bernard S. Kay

Hawking radiation is viewed as a tunnelling process. In this way the effect of self-gravitation gives rise to semiclassical corrections to the entropy of the (2+1) BTZ black hole. The modified entropy, due to specific modelling of the…

High Energy Physics - Theory · Physics 2009-11-07 Elias C. Vagenas

One quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the…

High Energy Physics - Theory · Physics 2025-01-29 Yuki Yokokura

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

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

The volume of a black hole under noncommutative spacetime background is found to be infinite, in contradiction with the surface area of a black hole, or its Bekenstein-Hawking (BH) entropy, which is well-known to be finite. Our result rules…

General Relativity and Quantum Cosmology · Physics 2016-12-26 Baocheng Zhang , Li You

We propose a new entropy construct that generalizes the Tsallis, R\'enyi, Sharma-Mittal, Barrow, Kaniadakis, and Loop Quantum Gravity entropies and reduces to the Bekenstein-Hawking entropy in a certain limit. This proposal is applied to…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

The area entropy $A/4$ and the related Hawking temperature in the presence of event horizons are rederived, for de Sitter and black hole topologies, as a consequence of a tunneling of the wave functional associated to the classical coupled…

General Relativity and Quantum Cosmology · Physics 2009-09-25 A. Casher , F. Englert

The energy injection through Hawking evaporation has been used to put strong constraints on primordial black holes as a dark matter candidate at masses below $10^{17}\,\rm{g}$. However, Hawking's semiclassical approximation breaks down at…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-05 Valentin Thoss , Andreas Burkert , Kazunori Kohri

Using a new regulator, we examine 't Hooft's approach for evaluating black hole entropy through a statistical-mechanical counting of states for a scalar field propagating outside the event horizon. We find that this calculation yields…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jean-Guy Demers , Rene Lafrance , Robert C. Myers

If two particles collide in the vicinity of a black hole horizon, their center of mass energy is practically unlimited, so another black hole with a large mass and thus entropy can be created. The resulting black hole can then merge with…

General Relativity and Quantum Cosmology · Physics 2025-03-05 De-Chang Dai

This survey intends to cover recent approaches to black hole entropy which attempt to go beyond the standard semiclassical perspective. Quantum corrections to the semiclassical Bekenstein-Hawking area law for black hole entropy, obtained…

High Energy Physics - Theory · Physics 2009-10-31 Parthasarathi Majumdar

We review some results on the connection among supergravity central charges, BPS states and Bekenstein-Hawking entropy. In particular, N=2 supergravity in four dimensions is studied in detail. For higher N supergravities we just give an…

High Energy Physics - Theory · Physics 2011-05-23 L. Andrianopoli , R. D'Auria

In gr-qc/9908036 [Phys. Lett. A 265 (2000) 1] a new method was given which naturally led to a quantum of mass equal to twice the Planck mass. In the present note which, for convenience, we write formally as a continuation of that paper, we…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. Ram

We examine a possibility that, when a black hole is formed, the information on the collapsed star is stored as the entanglement entropy between the outside and the thin region (of the order of the Planck length) of the inside the horizon.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hiroaki Terashima
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