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We present a large family of twisting and expanding solutions to the Einstein-Maxwell equations of algebraic type D, for which the two double principal null directions (PNDs) of the Weyl tensor are not aligned with the null eigendirections…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Hryhorii Ovcharenko , Jiří Podolský

A new class of exact spacetimes in Einstein's gravity, which are Kerr black holes immersed in an external magnetic (or electric) field that is asymptotically uniform and oriented along the rotational axis, is presented. These are…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Jiri Podolsky , Hryhorii Ovcharenko

A simple exact solution of the Einstein - Maxwell field equations for charged non-rotating black hole accelerated by an external electric field is presented. The background space-time, described by the well known Bertotti-Robinson solution,…

General Relativity and Quantum Cosmology · Physics 2025-11-11 G. A. Alekseev

An exact and analytical solution, in four-dimensional general relativity coupled with Maxwell electromagnetism, is built by means of a Lie point symmetry of the Ernst equations, the Harrison transformation. The new spacetime describes a…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Marco Astorino

As an extension of our previous work [1] (arXiv:2409.02308), we study a complete family of type D black holes with Kerr-like rotation, NUT twist, acceleration, electric and magnetic charges, and any value of the cosmological constant…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Hryhorii Ovcharenko , Jiri Podolsky , Marco Astorino

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

We present a new class of expanding and twisting solutions to the Einstein-Maxwell equations of algebraic type D, where the null eigendirections of the Faraday tensor are not aligned with PNDs of the Weyl tensor. After deriving this novel…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Hryhorii Ovcharenko , Jiri Podolsky

A new, exact and analytical class of accelerating and charged black holes is built, in the Einstein-Maxwell theory, thanks to the Harrison transformation. The diagonal metric does not belong to the Petrov type D classification, therefore it…

General Relativity and Quantum Cosmology · Physics 2023-12-14 Marco Astorino

We obtain a generalized Schwarzschild (GS-) and a generalized Reissner-Nordstrom (GRN-) black hole geometries in (3+1)-dimensions, in a noncommutative string theory. In particular, we consider an effective theory of gravity on a curved…

High Energy Physics - Theory · Physics 2008-11-26 Supriya Kar , Sumit Majumdar

Through gravitational decoupling using the extended minimal geometric deformation, a new family of static and rotating ``hairy'' black holes is provided. The background of these models is a generic Schwarzschild metric containing as special…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Pablo Leon , B. Mishra , Y. Gomez-Leyton , Francisco Tello-Ortiz

We investigate a complete family of spacetimes which represent black holes with rotation, NUT twist, acceleration, electric and magnetic charges. These are exact solutions of the Einstein-Maxwell equations with any cosmological constant,…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Hryhorii Ovcharenko , Jiri Podolsky , Marco Astorino

In our earlier work (PRL 103 (2009) 161101) it was shown that nonextremal highly charged Reissner-Nordstrom-de Sitter black holes are gravitationally unstable in D>6-dimensional space-times. Here, we find accurate threshold values of the…

High Energy Physics - Theory · Physics 2014-01-20 R. A. Konoplya , A. Zhidenko

In recent years there have appeared in the literature a large number of static, spherically symmetric metrics, which are regular at the origin, asymptotically flat, and have both an event and a Cauchy horizon for certain range of the…

General Relativity and Quantum Cosmology · Physics 2017-06-13 J. Ponce de Leon

A charged, non-rotating, spherically symmetric black hole which has cosmological constant $\Lambda$ (Reissner-Nordstr\"om+$\Lambda$ or RN+$\Lambda$), active gravitational mass $M$ and electric charge $Q$ is studied with exterior…

General Physics · Physics 2021-11-17 Safiqul Islam , Priti Mishra , Somi Aktar , Farook Rahaman

Following a program on black hole nonmodal linear stability initiated in Phys.\ Rev.\ Lett.\ {\bf 112} (2014) 191101, we study odd linear perturbations of the Einstein-Maxwell equations around a Reissner-Nordstr\"om (A)dS black hole. We…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Julián M. Fernández Tío , Gustavo Dotti

Several recent results concerning the complete class of exact solutions to the Einstein-Maxwell-$\Lambda$ equations of type D with a double-aligned electromagnetic field are summarized. This large class of spacetimes includes charged black…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Jiri Podolsky

Spherically symmetric classical model of an elementary particle or a black hole spacetime without central singularity had been constructed by O. B. Zaslavskii in PRD 70(2004)104017. In this model an extremal Reissner-Nordstr% \"{o}m (RN)…

General Relativity and Quantum Cosmology · Physics 2017-03-17 S. Habib Mazharimousavi , M. Halilsoy

We give a general class of static, spherically symmetric, non-asymptotically flat and asymptotically non-(anti) de Sitter black hole solutions in Einstein-Maxwell-Dilaton (EMD) theory of gravity in 4-dimensions. In this general study we…

General Relativity and Quantum Cosmology · Physics 2010-04-22 S. Habib Mazharimousavi , M. Halilsoy , I. Sakalli , O. Gurtug

A Reissner-Nordstr\"om black hole (BH) is superradiantly unstable against spherical perturbations of a charged scalar field, enclosed in a cavity, with frequency lower than a critical value. We use numerical relativity techniques to follow…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Nicolas Sanchis-Gual , Juan Carlos Degollado , Pedro J. Montero , José A. Font , Carlos Herdeiro

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
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