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An Euclidean approach for investigating quantum aspects of a scalar field living on a class of D-dimensional static black hole space-times, including the extremal ones, is reviewed. The method makes use of a near horizon approximation of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Daniele Binosi , Sergio Zerbini

I study the global structure of de Sitter space in the semi-classical and one-loop approximations to quantum gravity. The creation and evaporation of neutral black holes causes the fragmentation of de Sitter space into disconnected daughter…

High Energy Physics - Theory · Physics 2016-08-25 Raphael Bousso

Measurements of the distances to SNe Ia have produced strong evidence that the Universe is really accelarating, implying the existence of a nearly uniform component of dark energy with the simplest explanation as a cosmological constant. In…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xin He Meng , Bin Wang , S. Feng

A diffusion equation for a black hole is derived from the Bunster-Carlip equations. Its solution has the standard form of a Gaussian distribution. The second moment of the distribution determines the quantum of black hole area. The entropy…

General Relativity and Quantum Cosmology · Physics 2012-05-23 Kostiantyn Ropotenko

A comprehensive treatment of black hole thermodynamics in two-dimensional dilaton gravity is presented. We derive an improved action for these theories and construct the Euclidean path integral. An essentially unique boundary counterterm…

High Energy Physics - Theory · Physics 2010-10-27 Daniel Grumiller , Robert McNees

In the inflationary era, black holes came into existence together with the universe through the quantum process of pair creation. We calculate the pair creation rate from the no boundary proposal for the wave function of the universe. Our…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Raphael Bousso , Stephen W. Hawking

In this paper we propose a straightforward method for understanding the thermodynamics of black holes in de Sitter space, one that will allow us to study these black holes in a way that is analogous to the anti-de Sitter case. As per usual,…

High Energy Physics - Theory · Physics 2016-12-07 David Kubiznak , Fil Simovic

Black holes came into existence together with the universe through the quantum process of pair creation in the inflationary era. We present the instantons responsible for this process and calculate the pair creation rate from the no…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Raphael Bousso , Stephen W. Hawking

The probability for quantum creation of an inflationary universe with a pair of black holes is computed in a modified gravitational theory. Considering a gravitational action which includes a cosmological constant ($\Lambda$) in addition to…

High Energy Physics - Theory · Physics 2008-11-26 B. C. Paul , Dilip Paul

We study a spherical black hole surrounded by a hot self-gravitating thin shell in the canonical ensemble, i.e., a black hole and a hot shell inside a heat reservoir acting as a boundary with its area and temperature fixed. To work out the…

High Energy Physics - Theory · Physics 2023-11-07 José P. S. Lemos , O. B. Zaslavskii

In the studies of quantum field theory in curved spacetime, the ambiguous concept of vacuum state and the particle content is a long-standing debatable aspect. So far it is well known to us that in the background of the curved spacetime,…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Ashmita Das , Surojit Dalui , Chandramouli Chowdhury , Bibhas Ranjan Majhi

Creation of a black hole in quantum cosmology is the third way of black hole formation. In contrast to the gravitational collapse from a massive body in astrophysics or from the quantum fluctuation of matter fields in the very early…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Wu Zhong Chao

To explain black hole thermodynamics in quantum gravity, one must introduce constraints to ensure that a black hole is actually present. I show that for a large class of black holes, such ``horizon constraints'' allow the use of conformal…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

Using the Hartle-Hawking no-boundary proposal for the wave function of the universe, we can study the wave function and probability of a single black hole created at the birth of the universe. The black hole originates from a constrained…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Wu Zhong Chao

In this paper, we probe in 4D Einstein-Gauss-Bonnet black hole and its thermodynamics. We illustrate the three asymptotically 4D EGB spacetime as an asymptotically flat, de Sitter, and Anti-de Sitter. Also, we apply the tunneling of the…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Sareh Eslamzadeh , Javad T. Firouzjaee , Kourosh Nozari

In gravitational thermodynamics, the entropy of a black hole with distinct surface gravities can be evaluated in a microcanonical ensemble. At the $WKB$ level, the entropy becomes the negative of the Euclidean action of the constrained…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zhong Chao Wu

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

Models of evaporating black holes are constructed using the new solutions of Einstein's equations with perfect fluid in space-times with FLRW asymptotic behaviour derived recently [I. I. Cotaescu, Eur. Phys. J. C (2022) 82:86]. The dynamics…

General Relativity and Quantum Cosmology · Physics 2025-02-18 Ion I. Cotaescu

The tunneling approach for entropy generation in quantum gravity is applied to black holes. The area entropy is recovered and shown to count only a tiny fraction of the black hole degeneracy. The latter stems from the extension of the wave…

General Relativity and Quantum Cosmology · Physics 2010-04-06 A. Casher , F. Englert

This study examines the gravitational and thermodynamic properties of static, spherically symmetric black holes within cosmic voids -- vast underdense regions of the universe. By deriving a novel solution based on a universal density…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Francisco Bento Lustosa , Milko Estrada , Marcony S. Cunha , Celio R. Muniz