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The fundamental quasinormal resonances of charged Reissner-Nordstr\"om black holes due to charged scalar perturbations are derived {\it analytically}. In the WKB regime, $qQ\gg\hbar$, we obtain a simple expression for the fundamental…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Shahar Hod

We study the renormalized stress-energy tensor (RSET) for a massless, conformally coupled scalar field on global anti-de Sitter space-time in four dimensions. Robin (mixed) boundary conditions are applied to the scalar field. We compute…

High Energy Physics - Theory · Physics 2024-04-16 Thomas Morley , Sivakumar Namasivayam , Elizabeth Winstanley

We study spherically symmetric spacetime perturbations induced by a neutral scalar in the near-horizon region of extreme Reissner-Nordstrom black holes. For the unperturbed black hole, the near-horizon region is given by another exact…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Marco de Cesare , Roberto Oliveri , Achilleas P. Porfyriadis

Associated to every stationary extremal black hole is a unique near-horizon geometry, itself a solution of the field equations. These latter spacetimes are more tractable to analyze and most importantly, retain properties of the original…

High Energy Physics - Theory · Physics 2015-05-28 Hari K. Kunduri

In this paper, we give a complete description of the black hole threshold, locally near the Reissner-Nordstr\"om family, in the infinite-dimensional moduli space $\mathfrak M$ of dynamical spherically symmetric solutions to the…

General Relativity and Quantum Cosmology · Physics 2026-03-12 Yannis Angelopoulos , Christoph Kehle , Ryan Unger

We investigate semiclassical backreaction on a conical naked singularity space-time with a negative cosmological constant in (2+1)-dimensions. In particular, we calculate the renormalized quantum stress-energy tensor for a conformally…

High Energy Physics - Theory · Physics 2016-07-07 Marc Casals , Alessandro Fabbri , Cristián Martínez , Jorge Zanelli

This article introduces a nonstatic Reissner-Nordstr\"om metric, a metric that does not emit electromagnetic waves but can emit gravitational waves. We first use the GR theory to study a charged spherically symmetric gravitational source…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Pham Van Ky

Motivated by applications to the study of self-force effects in scalar-tensor theories of gravity, we calculate the self-force exerted on a scalar charge in a circular orbit about a Reissner-Nordstr\"{o}m black hole. We obtain the…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Jezreel Castillo , Ian Vega , Barry Wardell

We provide a classification of near-horizon geometries of supersymmetric, asymptotically anti-de Sitter, black holes of five-dimensional U(1)^3-gauged supergravity which admit two rotational symmetries. We find three possibilities: a…

High Energy Physics - Theory · Physics 2009-06-11 Hari K. Kunduri , James Lucietti

We start from a static, spherically symmetric space-time in the presence of an electrostatic field and construct the mini-superspace Lagrangian that reproduces the well known Reissner - Nordstr\"om solution. We identify the classical…

General Relativity and Quantum Cosmology · Physics 2017-05-03 N. Dimakis , A. Karagiorgos , T. Pailas , Petros A. Terzis , T. Christodoulakis

We compute the renormalized charge current for a massless, minimally coupled, charged quantum scalar field on a charged Reissner-Nordstrom black hole space-time, using the method of pragmatic mode-sum renormalization. Since the field…

High Energy Physics - Theory · Physics 2025-05-13 George Montagnon , Elizabeth Winstanley

We use the conditional symmetry approach to study the $r$-evolution of a minisuperspace spherically symmetric model both at the classical and quantum level. After integration of the coordinates $t$, $\theta$ and $\phi$ in the gravitational…

General Relativity and Quantum Cosmology · Physics 2015-06-17 T. Christodoulakis , N. Dimakis , Petros A. Terzis , Babak Vakili , E. Melas , Th. Grammenos

We discuss spontaneous scalarization of the Reissner-Nordstr\"om black hole in the presence of higher derivative gauge field corrections that arise in the context of string, as well as higher-dimensional more fundamental gravity theories.…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Stella Kiorpelidi , Thanasis Karakasis , George Koutsoumbas , Eleftherios Papantonopoulos

An analysis of all known spherically symmetric solutions to the field equations originating from the Riemann tensor quadratic curvature Lagrangian is presented. A new exact solution is found for the field equation originating from the…

General Relativity and Quantum Cosmology · Physics 2013-12-31 Bruce Herold Dean

The Reissner-Nordstr\"om black hole solution in a generic cosmological constant background in the the context of Rastall gravity is obtained. It is shown that the cosmological constant arises naturally from the consistency of the non-vacuum…

General Relativity and Quantum Cosmology · Physics 2017-12-05 Y. Heydarzade , H. Moradpour , F. Darabi

In this work, we construct a five-dimensional spherically-symmetric, charged and asymptotically Anti-de Sitter black hole with its singularity being point-like and strictly localised on our brane. In addition, the induced brane geometry is…

High Energy Physics - Theory · Physics 2021-11-17 Theodoros Nakas , Panagiota Kanti

We study the modified Reissner Nordstrom metric in the unimodular gravity. So far the spherical symmetric Einstein field equation in unimodular gravity has been studied in the absence of any source. We consider static electric and magnetic…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Pankaj Chaturvedi , Naveen K. Singh , Dharm Veer Singh

In this article, we study the superradiance of charged scalar fields on the sub-extremal Reissner-Nordstrom metric, a mechanism by which such fields can extract energy from a static spherically symmetric charged black hole. A geometrical…

Mathematical Physics · Physics 2015-08-06 Laurent Di Menza , Jean-Philippe Nicolas

Dirac equation is separable in curved space-time and its solution was found for both spherically and axially symmetric geometry. But most of the works were done without considering the charge of the black hole. Here we consider the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Banibrata Mukhopadhyay

We construct static black hole solutions that have no rotational symmetry. These arise in theories, including the standard electroweak model, that include charged vector mesons with mass $m\ne 0$. In such theories, a magnetically charged…

General Relativity and Quantum Cosmology · Physics 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg
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