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The approximation of the renormalized stress-energy tensor of the quantized massive scalar, spinor, and vector field in the Reissner- Nordstrom spacetime is constructed. It is achieved by functional differentiation of the lowest order of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jerzy Matyjasek

The effective action associated with the trace anomaly provides a general algorithm for approximating the expectation value of the stress tensor of conformal matter fields in arbitrary curved spacetimes. In static, spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul R. Anderson , Emil Mottola , Ruslan Vaulin

In general relativity, the gravitational field of an electrically charged, non-rotating, spherically symmetric body is described by the Reissner-Nordstr\"om (RN) metric. Depending on the charge to mass ratio, the solution describes a black…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Ruchi Mishra , Ronaldo S. S. Vieira , Włodek Kluźniak

We consider the effect of backreaction of quantized massive fields on the metric of extreme black holes (EBH). We find the analytical approximate expression for the stress-energy tensor for a scalar (with an arbitrary coupling), spinor and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. Matyjasek , O. B. Zaslavskii

We study static, spherically symmetric solutions with an electric field in an extension of general relativity (GR) containing a Ricci-squared term and formulated in the Palatini formalism. We find that all the solutions present a central…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Gonzalo J. Olmo , D. Rubiera-Garcia

We prove the linear stability of subextremal Reissner-Nordstr\"om spacetimes as solutions to the Einstein-Maxwell equation. We make use of a novel representation of gauge-invariant quantities which satisfy a symmetric system of coupled wave…

General Relativity and Quantum Cosmology · Physics 2021-11-29 Elena Giorgi

In a previous study we investigated the spherically symmetric Schwarzschild and Schwarzschild-de Sitter solutions within a Finsler-Randers-type geometry. In this work we extend our analysis to charged and rotating solutions, focusing on the…

It is shown in the tetrad representation that there are Reissner--Nordstr\"om solutions with a finite action and total inertial mass equal to the gravitational mass of the considered system. These solutions describe systems of…

General Physics · Physics 2019-06-19 S. I. Manaenkov

We study the magnitude of semiclassical gravity effects near the formation of a black-hole horizon in spherically-symmetric spacetimes. As a probe for these effects we use a quantised massless scalar field. Specifically, we calculate two…

General Relativity and Quantum Cosmology · Physics 2019-11-07 Carlos Barceló , Valentin Boyanov , Raúl Carballo-Rubio , Luis J. Garay

We continue the presentation of the pragmatic mode-sum regularization (PMR) method for computing the renormalized stress-energy tensor (RSET). We show in detail how to employ the $t$-splitting variant of the method, which was first…

General Relativity and Quantum Cosmology · Physics 2017-01-24 Adam Levi

The second-order term of the approximate stress-energy tensor of the quantized massive scalar field in the Bertotti-Robinson and Reissner- Nordstr\"om spacetimes is constructed within the framework of the Schwinger-DeWitt method. It is…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Jerzy Matyjasek , Dariusz Tryniecki

We consider Reissner-Nordstr\"{o}m black holes surrounded by quintessence where both a non-extremal event horizon and a cosmological horizon exist besides an inner horizon ($-1\leq \omega <-1/3$). We determine new extreme black hole…

General Relativity and Quantum Cosmology · Physics 2015-01-30 Mustapha Azreg-Aïnou

We study the consequences of the running Newton's constant on several key aspects of spherically symmetric charged black holes by performing a renormalization group improvement of the classical Reissner-Nordstr\"om metric within the…

General Relativity and Quantum Cosmology · Physics 2023-03-09 O. Ruiz , E. Tuiran

We study isometric embeddings of non-extremal Reissner-Nordstr\"om metric describing a charged black hole. We obtain three new embeddings in the flat ambient space with minimal possible dimension. These embeddings are global, i.e.…

General Relativity and Quantum Cosmology · Physics 2018-12-27 S. A. Paston , A. A. Sheykin

In this paper we present a 5-parametric family of static asymptotically flat solutions for the superposed gravitational and electromagnetic fields of two Reissner-Nordstr\"om sources with arbitrary parameters -- masses, charges and…

General Relativity and Quantum Cosmology · Physics 2016-11-15 G. A. Alekseev , V. A. Belinski

We investigate stationary spherically symmetric accretion of the relativistic Vlasov gas on Reissner-Nordstr\"{o}m black holes. The model is based on a recent analysis done by Rioseco and Sarbach for the Schwarzschild spacetime. Both models…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Adam Cieślik , Patryk Mach

It has recently been argued that extremal black holes can act as amplifiers of new physics, due to horizon instabilities that enhance the effects of ultraviolet corrections. In this paper, we revisit some of these claims and investigate the…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Francesco Di Filippo , Shinji Mukohyama , José M. M. Senovilla

In this paper we propose a stationary solution of Einstein's field equations describing Reissner-Nordstrom black hole in dark energy background. It is to be regarded as the Reissner-Nordstrom black hole is embedded into the dark energy…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Ngangbam Ishwarchandra , Ng. Ibohal , K. Yugindro Singh

Semiclassical gravity is investigated in a large class of asymptotically flat, static, spherically symmetric spacetimes including those containing static stars, black holes, and wormholes. Specifically the stress-energy tensors of massless…

General Relativity and Quantum Cosmology · Physics 2011-02-02 Eric D. Carlson , Paul R. Anderson , Alessandro Fabbri , Serena Fagnocchi , William H. Hirsch , Sarah A. Klyap

The stress-energy tensor for the massless spin 1/2 field is numerically computed outside and on the event horizons of both charged and uncharged static non-rotating black holes, corresponding to the Schwarzschild, Reissner-Nordstrom and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Eric D. Carlson , William H. Hirsch , Benedikt Obermayer , Paul R. Anderson , Peter B. Groves