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The interaction of a charged particle with its own field results in the "self-force" on the particle, which includes but is more general than the radiation reaction force. In the vicinity of the particle in curved spacetime, one may follow…

General Relativity and Quantum Cosmology · Physics 2010-01-26 Dong-Hoon Kim

We employ a recently developed mode-sum regularization method to compute the renormalized stress-energy tensor of a quantum field in the Kerr background metric (describing a stationary spinning black hole). More specifically, we consider a…

General Relativity and Quantum Cosmology · Physics 2017-04-12 Adam Levi , Ehud Eilon , Amos Ori , Maarten van de Meent

We consider the back reaction of the energy due to quantum fluctuation of the background fields considering the trace anomaly for Schwarzschild black hole. It is shown that it will result in modification of the horizon and also formation of…

General Relativity and Quantum Cosmology · Physics 2016-03-29 Jahed Abedi , Hessamaddin Arfaei

We provide a quantization of the Schwarzschild spacetime in the presence of a cosmological constant, based on midisuperspace methods developed in the spherically symmetric sector of loop quantum gravity, using in particular the 'improved…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Esteban Mato , Javier Olmedo , Sahil Saini

By considering the back-reaction of the spacetime through the spherically symmetric quantum fluctuations of the background metric, Kazakov and Solodukhin removed the singularity of the Schwarzschild black hole. This regular Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2022-07-21 Kourosh Nozari , Milad Hajebrahimi

Semiclassical gravity (SG) aims to describe the semiclassical regime of quantum gravity. In SG quantum fields curve classical spacetime in an effective way through the expectation value of their stress-energy tensor, while propagating in…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Benito A. Juárez-Aubry

In this paper a solution for a static spherically symmetric body is thoroughly considered in the framework of the Relativistic Theory of Gravitation. By the comparison of this solution with the Schwarzschild solution in General Relativity…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. A. Logunov , M. A. Mestvirishvili

The stress-energy tensor of the quantum vacuum is studied for the particular case of quantum electrodynamics (QED), that is a fictituous universe where only the electromagnetic and the electron-positron fields exist. The integrals involved…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Emilio Santos

Semi-classical gravity is an approximation to quantum gravity where gravity is treated classically and matter quantum mechanically. Matter is described by quantum field theory on curved space-time, whereas gravity is described by a…

General Relativity and Quantum Cosmology · Physics 2019-02-07 Ward Struyve

We investigate conformally coupled quantum matter fields on spherically symmetric, continuously self-similar backgrounds. By exploiting the symmetry associated with the self-similarity the general structure of the renormalized quantum…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Patrick R Brady , Adrian C Ottewill

We study analytically the spacetime geometry of the black-hole formation and evaporation. As a simplest model of the collapse, we consider a spherical thin shell, and take the back-reaction from the negative energy of the quantum vacuum…

High Energy Physics - Theory · Physics 2020-08-05 Pei-Ming Ho , Yoshinori Matsuo , Yuki Yokokura

The theory of higher derivative gravity is proposed to solve the non-renormalizable problem in quantum gravity.In this article, We use two numerical methods to fit another static spherically symmetric black hole besides the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Jin-Bo He

The formation and evaporation of small AdS black holes in a theory with a holographic dual is governed by the usual rules of quantum mechanics. The eigenstate thermalization hypothesis explains the validity of semiclassical gravity for…

High Energy Physics - Theory · Physics 2022-05-27 David A. Lowe , Larus Thorlacius

We examine solutions to semilinear wave equations on black hole backgrounds and give a proof of an analog of the Strauss conjecture on the Schwarzschild and Kerr, with small angular momentum, black hole backgrounds. The key estimates are a…

Analysis of PDEs · Mathematics 2014-03-14 Hans Lindblad , Jason Metcalfe , Christopher D. Sogge , Mihai Tohaneanu , Chengbo Wang

We study the renormalized stress-energy tensor (RSET) for static quantum states on (n+1)-dimensional, static, spherically symmetric black holes. By solving the conservation equations, we are able to write the stress-energy tensor in terms…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dean Morgan , Stuart Thom , Elizabeth Winstanley , Phil M. Young

We demonstrate that, in the presence of an external magnetic field, an uncharged classical Schwarzschild black hole moving superluminally in a dielectric with permittivity $\epsilon > 1$ produces Cherenkov emission. This is a new physical…

High Energy Physics - Theory · Physics 2025-05-06 Sergei Khlebnikov , Maxim Lyutikov

The application of nonlinear electrodynamics at high energy scales has led to a variety of interesting phenomena in recent years, particularly within the context of non-singular spacetime geometries. Additionally, it is postulated that…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Athanasios G. Tzikas

In some instances of study of quantum evolution of classical backgrounds it is considered inevitable to resort to non-perturbative methods at the price of treating the system semiclassically. We show that a fully quantum perturbative…

High Energy Physics - Theory · Physics 2023-01-11 Gia Dvali , Lukas Eisemann

We find the most general spherically symmetric non singular black hole solution in a special class of teleparallel theory of gravitation. If $r$ is large enough, the general solution coincides with the Schwarzschild solution. Whereas, if…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gamal G. L. Nashed

We describe two different, but equivalent semiclassical views of black hole physics in which the equivalence principle and unitarity are both accommodated. In one, unitarity is built-in, while the black hole interior emerges only…

High Energy Physics - Theory · Physics 2023-02-01 Chitraang Murdia , Yasunori Nomura , Kyle Ritchie