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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

The entropy of the Reissner-N\"{o}rdstrom black hole is studied within the context of a brane-world scenario. Such a black hole is a solution of the Einstein field equations on the brane, possessing a tidal charge which is a reflection of…

General Relativity and Quantum Cosmology · Physics 2014-11-21 A. Sefiedgar , H. R. Sepangi

We obtain new intersecting 5-brane, string and pp-wave solutions in the heterotic string on a torus and on a K3 manifold. In the former case the 5-brane is supported by Yang-Mills instantons, and in the latter case both the 5-brane and the…

High Energy Physics - Theory · Physics 2009-10-07 E. Lima , H. Lu , B. A. Ovrut , C. N. Pope

We consider quantum tunnelling in asymmetric double-well systems for which the local minima in the two wells have the same energy, but the frequencies differ slightly. We derive a generalization of instanton theory for these asymmetric…

Chemical Physics · Physics 2020-09-04 Elena Jahr , Gabriel Laude , Jeremy O. Richardson

The coupling of a Nambu-Goto string to gravity allows for Schwarzschild black holes whose entropy to area relation is $S=(A/4)(1-4\mu)$, where $\mu$ is the string tension. The departure from $A/4$ universality results from a string…

High Energy Physics - Theory · Physics 2007-05-23 Francois Englert , Laurent Houart , Paul Windey

The constrained instanton method is used to study quantum creation of a vacuum or charged topological black hole. At the $WKB$ level, the relative creation probability is the exponential of a quarter sum of the horizon areas associated with…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Zhong Chao Wu

The constrained instanton method is used to study quantum creation of a $BTZ$ black hole. It is found that the relative creation probability is the exponential of the negative sum of the entropy associated with the outer and inner black…

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

The tunneling approach, for entropy generation in quantum gravity, is shown to be valid when applied to 3-D general relativity. The entropy of de Sitter and Reissner-Nordstr\"om external event horizons and of the 3-D black hole obtained by…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Francois Englert , Benni Reznik

Recently it has been shown in 0901.0931 [hep-th] that the approach to extremality for the non-extremal Reissner-Nordstrom black hole is not continuous. The non-extremal RN black hole splits into two spacetimes at the extremality: an…

High Energy Physics - Theory · Physics 2014-11-18 Mohammad R. Garousi , Ahmad Ghodsi

Quantum tunneling constitutes one of the most fundamental processes in nature. We observe resonantly-enhanced long-range quantum tunneling in one-dimensional Mott-insulating Hubbard chains that are suddenly quenched into a tilted…

We consider the general process of pair-creation of charged rotating black holes. We find that instantons which describe this process are necessarily complex due to regularity requirements. However their associated probabilities are real,…

General Relativity and Quantum Cosmology · Physics 2010-11-19 I. S. Booth , R. B. Mann

While the Bekenstein-Hawking entropy is the unique notion of entropy that makes classical black hole thermodynamics consistent, alternative entropy notions (R\'enyi, Tsallis, and generalized constructs) abound in the literature. We explore…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

The quantum field theory for a massless scalar field on a two-dimensional non-singular black hole spacetime gives a non-vanishing probability for a particle to tunnel out of the black hole. The black hole spacetime contains an outer and an…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Edward Wilson-Ewing

We develop a new numerical scheme which allows precise solution of coherent tunneling problems, i.e., problems with exponentially small transition amplitudes between quasidegenerate states. We explain how this method works for the…

Condensed Matter · Physics 2007-05-23 Nikolai Prokof'ev , Boris Svistunov , Igor Tupitsyn

By allowing the light cones to tip over on hypersurfaces according to the conservation laws of an one-kink in static, Schwarzschild and five-dimensional black hole metrics, we show that in the quantum regime there also exist instantons…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pedro F. Gonzalez-Diaz

The entropy of charged black hole is calculated by using the partition function evaluated at radial geodesics confined under horizons. We establish two quantum phase states inside the black hole and a transition between them.

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. V. Kiselev

Instanton theory has arisen as a practical tool for calculating tunneling splittings in molecular systems. Unfortunately, the original formulation of instanton theory fundamentally breaks down when trying to calculate the level splitting in…

Chemical Physics · Physics 2025-10-31 Marit R. Fiechter , Gabriel Laude , Jeremy O. Richardson

Adopting thin film brick-wall model, we calculate the entropy of a nonuniformly rectilinearly accelerating non-stationary black hole expressed by Kinnersley metric. Because the black hole is accelerated, the event horizon is axisymmetric.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 He Han , Zhao Zheng

We study the process of quantum tunnelling in scalar-tensor theories in which the scalar field is non-minimally coupled to gravity. In these theories gravitational instantons can deviate substantially from sphericity and can in fact develop…

High Energy Physics - Theory · Physics 2014-12-10 Lorenzo Battarra , George Lavrelashvili , Jean-Luc Lehners

Different approaches to quantum gravity conclude that black holes may possess an inner horizon, in addition to the (quantum corrected) outer `Schwarzschild' horizon. In this paper we assume the existence of this inner horizon and explain…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Ramon Torres