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The metric and the electromagnetic potential generated by a static, spherically symmetric charged massive object in any dimension are given by the Reissner-Nordstr\"om-Tangherlini solution. We derive the expansion of this solution up to…

High Energy Physics - Theory · Physics 2022-09-19 Simone D'Onofrio , Federica Fragomeno , Claudio Gambino , Fabio Riccioni

Self-dual black holes in (2,2) signature spacetime -- Klein space -- have recently attracted interest in the context of celestial holography. Motivated by this development, we investigate the structure of spacetime near the horizons of…

High Energy Physics - Theory · Physics 2025-05-20 Gaston Giribet , Juan Laurnagaray , Bryan Malpartida , Pedro Schmied

We consider a massless scalar field propagating on the exterior of the extreme Reissner-Nordstr\"om black hole. Using a discrete conformal symmetry of this spacetime, we draw a one-to-one relationship between the behavior of the field near…

General Relativity and Quantum Cosmology · Physics 2013-02-20 Piotr Bizoń , Helmut Friedrich

In this report we describe quantum Reissner-Nordstr\"om (RN) black-holes interacting with a complex scalar field. Our analysis is characterized by solving a Wheeler-DeWitt equation in the proximity of an apparent horizon of the RN…

High Energy Physics - Theory · Physics 2009-09-25 P. V. Moniz

We study quasi-normal modes of black holes, with a focus on resonant (or quasi-normal mode) expansions, in a geometric frame based on the use of conformal compactifications together with hyperboloidal foliations of spacetime. Specifically,…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Rodrigo Panosso Macedo , José Luis Jaramillo , Marcus Ansorg

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

This article is devoted to the study of new exact analytical solutions in the background of Reissner-Nordstr\"{o}m space-time by using gravitational decoupling via minimal geometric deformation approach. To do so, we impose the most general…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Angel Rincon , Luciano Gabbanelli , Ernesto Contreras , Francisco Tello-Ortiz

Quantization of different regions of the Reissner-Nordstr\"{o}m space time (charged black hole) is done in the framework of loop quantum gravity. The geometry of Reissner-Nordstr\"{o}m space-time is expressed in terms of Ashtekar variables…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Mojtaba Taslimi Tehran , Hoshang Heydari

This paper is devoted to the study of the Reissner-Nordstr{\o}m-de Sitter black holes and their maximal analytic extensions. In particular, we study some of their properties that lays the groundwork for separate papers where we obtain decay…

Differential Geometry · Mathematics 2017-09-12 Mokdad Mokdad

We investigate the superradiant instability for a charged scalar field in a $D$-dimensional small Reissner-Nordstr\"om-Anti-de Sitter (RN-AdS) black hole. Firstly, we solve the charged Klein-Gordon equation analytically by a matching…

General Relativity and Quantum Cosmology · Physics 2014-03-24 Mengjie Wang , Carlos Herdeiro

We present novel solutions to the Klein-Gordon equation in a black string spacetime immersed in an anisotropic quintessence fluid and surrounded by a cloud of strings (BCK spacetime). The solutions are shown to depend on the quintessence…

General Relativity and Quantum Cosmology · Physics 2026-03-31 M. L. Deglmann , B. V. Simão , C. C. Barros

Black holes, as classical solutions of General Relativity, are expected to exhibit quantum properties near their horizons. In this paper, we examine the behavior of quantum particles near the Schwarzschild horizon by solving the…

General Physics · Physics 2025-10-07 Merab Gogberashvili , Tinatin Tsiskaridze

We consider a Hamiltonian quantum theory of spherically symmetric, asymptotically flat electrovacuum spacetimes. The physical phase space of such spacetimes is spanned by the mass and the charge parameters $M$ and $Q$ of the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Jarmo Makela , Pasi Repo

The quasi-bound states of charged massive scalar fields in the near-extremal charged Reissner-Nordstr\"om black-hole spacetime are studied {\it analytically}. These discrete resonant modes of the composed black-hole-field system are…

High Energy Physics - Theory · Physics 2017-06-08 Shahar Hod

We present a time-dependent and spatially inhomogeneous solution that interpolates the extremal Reissner-Nordstr\"om (RN) black hole and the Friedmann-Lema\^itre-Robertson-Walker (FLRW) universe with arbitrary power-law expansion. It is an…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Kei-ichi Maeda , Masato Nozawa

Recent studies suggest that in the Kerr/CFT correspondence, much universal information of the dual CFT, including the central charges and the temperatures, is fully encoded in the thermodynamics of the outer and inner horizons of the…

High Energy Physics - Theory · Physics 2013-04-10 Bin Chen , Jia-ju Zhang

We give a short introduction to the formalism of noncommutative (twisted) differential geometry that is used to derive the equations of motion for the gravitational perturbation of the Schwarzschild black hole in quantized spacetime.…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Nikola Herceg , Tajron Jurić , A. Naveena Kumara , Andjelo Samsarov , Ivica Smolić

It is shown that the hidden conformal symmetry, namely $SO(2,2) \sim SL(2,R)_L \times SL(2,R)_R$ symmetry, of the non-extremal dyonic Reissner-Nordstr\"om black hole can be probed by a charged massless scalar field at low frequencies. The…

High Energy Physics - Theory · Physics 2011-06-23 Chiang-Mei Chen , Ying-Ming Huang , Jia-Rui Sun , Ming-Fan Wu , Shou-Jyun Zou

We study scalar, electromagnetic and gravitational perturbations of a Reissner-Nordstr\"om-anti-de Sitter (RN-AdS) spacetime, and compute its quasinormal modes (QNM's). We confirm and extend results previously found for…

General Relativity and Quantum Cosmology · Physics 2011-05-05 E. Berti , K. D. Kokkotas

In this letter, we present a novel exact scalar quasibound states solutions in the extremal Reissner-Norstr\"om black hole background. We start with the construction of the governing covariant relativistic scalar field equation, the…

General Relativity and Quantum Cosmology · Physics 2025-01-06 David Senjaya , Supakchai Ponglertsakul