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Related papers: Analytic charged BHs in $f(\mathcal{R})$ gravity

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The phenomenon of spontaneous scalarisation of charged black holes (BHs) has recently motivated studies of various Einstein-Maxwell-scalar models. Within these models, different classes of BH solutions are possible, depending on the…

General Relativity and Quantum Cosmology · Physics 2020-05-25 Jose Luis Blázquez-Salcedo , Carlos A. R. Herdeiro , Jutta Kunz , Alexandre M. Pombo , Eugen Radu

It is known that general relativity (GR) theory is not consistent with the latest observations. The modified gravity of GR known as $\mathrm{f(R)}$ where $\mathrm{R}$ is the Ricci scalar, is considered to be a good candidate for dealing…

General Relativity and Quantum Cosmology · Physics 2021-02-24 G. G. L. Nashed

Recent observation shows that general relativity (GR) is not valid in the strong regime. $\mathit{f(R)}$ gravity where $\mathit{R}$ is the Ricci scalar, is regarded to be one of good candidates able to cure the anomalies appeared in the…

General Relativity and Quantum Cosmology · Physics 2021-07-01 G. G. L. Nashed , S. Nojiri

With the successes of $f(R)$ theory as a neutral modification of Einstein's general relativity (GR), we continue our study in this field and attempt to find general %natural { neutral} and charged black hole (BH) solutions. In the previous…

General Relativity and Quantum Cosmology · Physics 2021-12-21 G. G. L. Nashed , Shin'ichi Nojiri

We consider static, spherically symmetric, electrically or/and magnetically charged configurations of a minimally coupled scalar field with an arbitrary potential $V(\phi)$ in general relativity. Using the inverse problem method, we obtain…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. A. Bronnikov , M. S. Chernakova

A new class of analytic charged spherically symmetric black hole solutions, which behave asymptotically as flat or (A)dS spacetimes, is derived for specific classes of $f(R)$ gravity, i.e., $f(R)=R-2\alpha\sqrt{R}$ and…

General Relativity and Quantum Cosmology · Physics 2019-07-18 Gamal G. L. Nashed , Salvatore Capozziello

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

Inspired by the BTZ formalism, we discuss the Maxwell-$f(T)$ gravity in (2+1)-dimensions. The main task is to derive exact solutions for a special form of $f(T)=T+\epsilon T^2$, with $T$ being the torsion scalar of…

General Relativity and Quantum Cosmology · Physics 2018-05-23 G. G. L. Nashed , S. Capozziello

In a recent paper[1], it has been shown that, there cannot be any rotating (Kerr) Black Hole (BH) with finite mass in order that the generic properties associated with the symmetries of stationary axisymmetric Einstein equations are obeyed,…

Astrophysics · Physics 2016-08-30 Abhas Mitra

By consideration of a Einstein-dilaton non-linear charged gravitating system, it has been shown that this theory is confronted with the problem of indeterminacy. It means that the number of independent differential equations is one less…

General Relativity and Quantum Cosmology · Physics 2023-01-23 Mohsen Dehghani

We introduce novel black hole (BH) solutions, charge/non-charge, within the framework of $f(R)$ gravity, a theory that does not inherently include a cosmological constant, using equal/diffirent metric ansatzs. Remarkably, these solutions…

General Relativity and Quantum Cosmology · Physics 2025-09-22 G. G. L. Nashed

We present spontaneous scalarization of charged black holes (BHs) which is induced by the coupling of the scalar field to the electromagnetic field strength and the double-dual Riemann tensor $L^{\mu\nu\alpha\beta}F_{\mu\nu}F_{\alpha\beta}$…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Taishi Ikeda , Tomohiro Nakamura , Masato Minamitsuji

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

In this paper, we systematically study spherically symmetric static spacetimes in the framework of Einstein-aether theory, and pay particular attention to the existence of black holes (BHs). In the present studies we first clarify several…

General Relativity and Quantum Cosmology · Physics 2020-09-18 Chao Zhang , Xiang Zhao , Kai Lin , Shaojun Zhang , Wen Zhao , Anzhong Wang

We show that the spherically symmetric { black hole (BH)} solution of a charged (linear case) field equation of Rastall gravitational theory is not affected by the Rastall parameter and this is consistent with the results presented in the…

General Relativity and Quantum Cosmology · Physics 2022-10-18 G. G. L. Nashed

We derive a novel class of four-dimensional black hole solutions in Gauss-Bonnet gravity coupled with a scalar field in presence of Maxwell electrodynamics. In order to derive such solutions, we assume the ansatz $ g_{tt}\neq g_{rr}{}^{-1}$…

General Relativity and Quantum Cosmology · Physics 2023-09-19 Salvatore Capozziello , G. G. L. Nashed

Spherical black hole (BH) solutions in Einstein-Maxwell-scalar (EMS) models wherein the scalar field is non-minimally coupled to the Maxwell invariant by some coupling function are discussed. We suggest a classification for these models…

High Energy Physics - Theory · Physics 2020-01-08 D. Astefanesei , C. Herdeiro , A. Pombo , E. Radu

In \cite{Bahamonde:2019zea}, a spherically symmetric black hole (BH) was derived from the quadratic form of $f(T)$. Here we derive the associated energy, invariants of curvature, and torsion of this BH and demonstrate that the higher-order…

General Relativity and Quantum Cosmology · Physics 2021-05-13 G. G. L. Nashed

We investigate static and spherically symmetric black hole (BH) solutions in shift-symmetric quadratic-order degenerate higher-order scalar-tensor (DHOST) theories. We allow a nonconstant kinetic term $X=g^{\mu\nu}…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Masato Minamitsuji , James Edholm

In this paper, we consider the special case of $F(R)$ gravity, in which $F(R)= R^{N}$ and obtain its topological black hole solutions in higher dimensions. We show that, the same as higher dimensional charged black hole, these solutions may…

General Relativity and Quantum Cosmology · Physics 2014-11-20 S. H. Hendi
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