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We obtain a class of regular black hole solutions in four-dimensional $f(R)$ gravity, $R$ being the curvature scalar, coupled to a nonlinear electromagnetic source. The metric formalism is used and static spherically symmetric spacetimes…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Manuel E. Rodrigues , Ednaldo L. B. Junior , Glauber T. Marques , Vilson T. Zanchin

We investigate possible end-points of the superradiant instability for a charged black hole with a reflecting mirror. By considering a fully coupled system of gravity and a charged scalar field, hairy black hole solutions are obtained. The…

General Relativity and Quantum Cosmology · Physics 2016-01-13 Supakchai Ponglertsakul , Sam Dolan , Elizabeth Winstanley

According to the no-hair theorem, the Kerr-Newman black hole solution represents the most general asymptotically flat, stationary (electro-) vacuum black hole solution in general relativity. The procedure described here shows how this…

General Relativity and Quantum Cosmology · Physics 2017-11-08 Reinhard Meinel

A four-dimensional static black hole solution of Einstein equation conformally coupled to a massive and self interacting scalar field is obtained. A nontrivial scalar solution proposes a weak scalar hair. A dressed black hole shows a trace…

General Relativity and Quantum Cosmology · Physics 2008-05-30 P. I. Kuriakose , V. C. Kuriakose

Novel static black hole solutions with electric and magnetic charges are derived for the class of modified gravities: $f({\cal R})={\cal R}+2\beta\sqrt{{\cal R}}$, with or without a cosmological constant. The new black holes behave…

General Relativity and Quantum Cosmology · Physics 2020-02-14 E. Elizalde , G. G. L. Nashed , S. Nojiri , S. D. Odintsov

Black holes in $f(R)$-gravity are known to be unstable, especially the rotating ones. In particular, an instability develops that looks like the classical black hole bomb mechanism: the linearized modified Einstein equations are…

General Relativity and Quantum Cosmology · Physics 2020-11-12 Christian Dioguardi , Massimiliano Rinaldi

We study generic Einstein-Maxwell-Kalb-Ramond-dilaton actions, and derive conditions under which they give rise to static, spherically symmetric black hole solutions. We obtain new asymptotically flat and non-flat black hole solutions which…

High Energy Physics - Theory · Physics 2009-11-11 Sourav Sur , Saurya Das , Soumitra SenGupta

We construct spin-induced scalarized black hole solutions in a class of Einstein-Maxwell-scalar models, where a scalar field is non-minimally coupled to the electromagnetic field. Our results show that scalar hair develops only for rapidly…

General Relativity and Quantum Cosmology · Physics 2025-06-25 Lang Cheng , Guangzhou Guo , Peng Wang , Haitang Yang

We consider a stationary metric immersed in a uniform magnetic field and determine general expressions for the epicyclic frequencies of charged particles. Applications to the Kerr--Newman black hole is reach of physical consequences and…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Mustapha Azreg-Aïnou

An $arctan$-electrodynamics coupled with the gravitational field is investigated. We obtain the regular black hole solution that at $r\rightarrow \infty$ gives corrections to the Reissner-Nordstr\"om solution. The corrections to Coulomb's…

General Physics · Physics 2017-07-06 S. I. Kruglov

The theory of f(R)-gravity is one of the theories of modified Einstein gravity. The vacuum solution, on the other hand, of the field equation is the solution for black hole geometry. We establish here an asymptotically flat rotating black…

General Relativity and Quantum Cosmology · Physics 2022-11-07 Arghya Ranjan Das , Banibrata Mukhopadhyay

The scale invariance of the source-free Einstein field equations suggests that one might be able to model hadrons as "strong gravity" black holes, if one uses an appropriate rescaling of units or a revised gravitational coupling factor. The…

Astrophysics · Physics 2010-04-29 R. L. Oldershaw

We study the superradiance instability of charged massive scalar field in the background of Kerr-Newman-anti-de Sitter black hole. By employing the asymptotic matching technique to solve Klein-Gordon equation analytically, the complex parts…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Ran Li

We study linear scalar perturbations of slowly accelerating Kerr-Newman-anti-de Sitter black holes using the method of isomonodromic deformations. The conformally coupled Klein-Gordon equation separates into two second-order ordinary…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Julián Barragán Amado , Bogeun Gwak

We investigate static spherically symmetric solutions in the Palatini kinetically coupled scalar-tensor theory, which reduces to gravity minimally coupled to a scalar field in Einstein frame. Using the fact that the Jordan and Einstein…

General Relativity and Quantum Cosmology · Physics 2021-10-29 D. V. Gal'tsov , D. S. Bushuev

We construct regular, asymptotically flat black holes of higher order scalar tensor (DHOST) theories, which are obtained by making use of a generalized Kerr-Schild solution generating method. The solutions depend on a mass integration…

High Energy Physics - Theory · Physics 2021-07-27 Olaf Baake , Christos Charmousis , Mokhtar Hassaine , Miguel San Juan

A key obstacle for theory-specific tests of general relativity is the lack of accurate black-hole solutions in beyond-Einstein theories, especially for moderate to high spins. We address this by developing a general framework--based on…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

We observe that a large class of well behaved stationary and axisymmetric black hole solutions in general relativity and in the Einstein-Maxwell theory can be classified according to the properties of their background. Indeed all these…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Marco Astorino

We study the stability of new neutral and electrically charged four-dimensional black hole solutions of Einstein's equations with a positive cosmological constant and conformally coupled scalar field. The neutral black holes are always…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Tom J. T. Harper , Paul A. Thomas , Elizabeth Winstanley , Phil M. Young

In this work we analyze the existence of electrically charged scalar clouds which are bound states of a complex-valued massive scalar field in the background of subextremal and extremal Kerr-Newman black holes (BH). In particular, we…

General Relativity and Quantum Cosmology · Physics 2023-08-01 Gustavo García , Marcelo Salgado
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