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Related papers: Schwarzschild-like metric and a quantum vacuum

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We show, by using Regge calculus, that the entropy of any finite part of a Rindler horizon is, in the semi-classical limit, one quarter of the area of that part. We argue that this result implies that the entropy associated with any horizon…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Makela , A. Peltola

We investigate how a spherically symmetric fluid modifies the Schwarzschild vacuum solution when there is no exchange of energy-momentum between the fluid and the central source of the Schwarzschild metric. This system is described by means…

General Relativity and Quantum Cosmology · Physics 2018-11-26 J Ovalle , R Casadio , R da Rocha , A Sotomayor , Z Stuchlik

By reintroducing Lorentz invariance in canonical loop quantum gravity, we define a geometrical notion of temperature for quantum isolated horizons. This is done by demanding that the horizon state satisfying the boundary conditions be a…

General Relativity and Quantum Cosmology · Physics 2014-06-04 Daniele Pranzetti

We demonstrate that a spherical accretion onto astrophysical black holes, under the influence of Newtonian or various post-Newtonian pseudo-Schwarzschild gravitational potentials, may constitute a concrete example of classical analogue…

Astrophysics · Physics 2007-05-23 Surajit Dasgupta , Neven Bilić , Tapas K. Das

In the context of a noncommutative model of coordinate coherent states, we present a Schwarzschild-like metric for a Vaidya solution instead of the standard Eddington-Finkelstein metric. This leads to the appearance of an exact $(t - r)$…

General Relativity and Quantum Cosmology · Physics 2014-11-21 S. Hamid Mehdipour

In a Schwarzschild-de Sitter space, we consider an equipotential surface which consists of two holographic screens. Adapting the Bousso-Hawking's reference point of vanishing force, we divide the space into two regions, which are from the…

High Energy Physics - Theory · Physics 2011-09-06 Ee Chang-Young , Myungseok Eune , Kyoungtae Kimm , Daeho Lee

We derive an approximate expression for the entropy of Hawking radiation filling a spherical box in stable thermodynamic equilibrium with the Schwarzschild black hole that produced the said radiation. The Bekenstein entropy bound is…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Diego Pavón

We undertake a first-principles analysis of the thermodynamics of a small body near a black hole horizon. In particular, we study the paradigmatic system of a quantum ideal gas in a small box hovering over the Schwarzschild horizon. We…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Eirini Sourtzinou , Charis Anastopoulos

The problem of the event horizon in relativistic gravity is discussed. Singular solutions in general relativity are well known. The Schwarschild metric of a spherical mass is singular at zero ($r = 0$) and at the event horizon ($r = r_g$).…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Svetlana Andrusenko , Daniil Krichevskiy , Valentin Rudenko

An approximate form for the vacuum averaged stress-energy tensor of a conformal spin-2 quantum field on a black hole background is employed as a source term in the semiclassical Einstein equations. Analytic corrections to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2009-10-28 David Hochberg , Sergey V. Sushkov

The many low energy modes near a black hole horizon give the thermal atmosphere a divergent entropy which becomes of order $A/4G$ with a Planck scale cut-off. However, Sorkin has given a Newtonian argument for 3+1 Schwarzschild black holes…

High Energy Physics - Theory · Physics 2008-11-26 Donald Marolf

The Schwarzschild-deSitter metric is the known solution of Einstein field equations with cosmological constant term for vacuum spherically symmetric space around a point mass M. Recently it has been reported that in a $Lamda$-dominant world…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Amir H. Abbassi

The Schwarzschild metric is derived in a manner that does not require familiarity with the formalism of differential geometry beyond the ability to interpret a general spacetime metric. As such, the derivation is suitable for an…

Physics Education · Physics 2020-09-09 Markus Pössel

As is well known, near-horizon (equivalently high acceleration) observers in spherically symmetric black hole spacetimes have a particularly simple form of the quasi-local energy. Using this energy and indistinguishable area quanta…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Ryley McGovern , Seth Major , Trevor Scheuing , Thomas Takis

Calculations of black hole entropy based on the counting of modes of a quantum field propagating in a Schwarzschild background need to be regularized in the vicinity of the horizon. To obtain the Bekenstein-Hawking result the short distance…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Michele Arzano , Stefano Bianco , Olaf Dreyer

A generation method of new metric in the case of static spherically symmetric space-time is derived. Using this approach, we construct a metric which describes Euler-Heisenberg black hole surrounded by perfect fluid dark matter and…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Shi-Jie Ma , Rui-Bo Wang , Jian-Bo Deng , Xian-Ru Hu

The $\gamma$-metric is a static, axially-symmetric singular solution of the vacuum Einstein's equations without an event horizon. This is a two-parameter family of solutions, generic values of one of which (called $\gamma$) measure the…

General Relativity and Quantum Cosmology · Physics 2022-08-24 Rajibul Shaikh , Suvankar Paul , Pritam Banerjee , Tapobrata Sarkar

Using quantum liquids one can simulate the behavior of the quantum vacuum in the presence of the event horizon. The condensed matter analogs demonstrate that in most cases the quantum vacuum resists to formation of the horizon, and even if…

General Relativity and Quantum Cosmology · Physics 2022-10-12 G. E. Volovik

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

The thermodynamic and spectroscopic behaviour of Schwarzschild black hole surrounded by quintessence are studied. We have derived the thermodynamic quantities and studied their behaviour for different values of quintessence parameter. We…

General Relativity and Quantum Cosmology · Physics 2013-01-14 R Tharanath , V C Kuriakose