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A model of nonlinear electrodynamics with the Lagrangian density ${\cal L} = -(1/\beta)\arcsin(\beta F_{\mu\nu}F^{\mu\nu}/4)$ is proposed. The scale invariance and the dual invariance of electromagnetic fields are broken in the model. In…

General Relativity and Quantum Cosmology · Physics 2016-08-05 S. I. Kruglov

A three-dimensional slowly rotating black hole solution in the presence of negative cosmological constant in the Einstein-power-Maxwell theory is studied. It is shown that in the small rotation limit the electric field, diagonal metric…

General Relativity and Quantum Cosmology · Physics 2023-04-07 Mykhailo Tataryn , Mykola Stetsko

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

The motion of a small compact object in a curved background spacetime deviates from a geodesic due to the action of its own field, giving rise to a self-force. This self-force may be calculated by integrating the Green function for the wave…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Marc Casals , Sam Dolan , Adrian C. Ottewill , Barry Wardell

We study the validity of Bekenstein's entropy bound for a charged black hole in the context of nonlinear electrodynamics. Bekenstein's inequalities are commonly understood as universal relations between the entropy, the charge, the…

General Relativity and Quantum Cosmology · Physics 2021-04-30 F. T. Falciano , M. L. Peñafiel , J. C. Fabris

We study charged scalar perturbations of charged extremal black holes in Einstein-Born-Infeld theory. Our numerical results indicate that these black holes all suffer from superradiant instability by the unstable quasi-bound states,…

High Energy Physics - Theory · Physics 2024-04-05 Ze-Hua Wu , H. Lu

The problem of constructing a model of an extended charged particle within the context of general relativity has a long and distinguished history. The distinctive feature of these models is that, in some way or another, they require the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Ponce de Leon

The charged BTZ black hole is characterized by a power-law curvature singularity generated by the electric charge of the hole. The curvature singularity produces ln r terms in the asymptotic expansion of the gravitational field and…

High Energy Physics - Theory · Physics 2008-11-26 M. Cadoni , M. Melis , M. R. Setare

Following an earlier suggestion of the authors(gr-qc/9607030), we use some basic properties of Euclidean black hole thermodynamics and the quantum mechanics of systems with periodic phase space coordinate to derive the discrete…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Andrei Barvinsky , Saurya Das , Gabor Kunstatter

We consider Reissner-Nordstrom solutions in quasi-topological gravity, obtaining exact solutions to the field equations yielding charged quasi-topological black holes. We study their thermodynamic behaviour over a range of parameters that…

High Energy Physics - Theory · Physics 2012-10-15 W. G. Brenna , R. B. Mann

In this work we analise the electrostatic self-energy and self-force on a point-like electric charged particle induced by a global monopole spacetime considering a inner structure to it. In order to develop this analysis we calculate the…

High Energy Physics - Theory · Physics 2011-02-09 D. Barbosa , J. Spinelly , E. R. Bezerra de Mello

The interaction of a Reissner-Nordstr\"om black hole and a charged massive particle is studied in the framework of perturbation theory. The particle backreaction is taken into account, studying the effect of general static perturbations of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Donato Bini , Andrea Geralico , Remo Ruffini

In this work, we derive rigorous and universal bounds on the geometric characteristics of black holes in asymptotically flat spacetimes under assumptions that weak energy condition is satisfied. We prove that the event horizon radius, the…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Vitalii Vertogradov

The event horizon of a charged black hole is, according to Ruffini\cite{Ruffini} and Preparata \emph{et al.}\cite{PreparataEtAl}, surrounded by a special region called the \emph{dyadosphere} where the electromagnetic field exceeds the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. S. Xulu

Rotating black holes in Einstein-Maxwell-Chern-Simons theory possess remarkable features, when the Chern-Simons coupling constant reaches a critical value. Representing single asymptotically flat black holes with horizons of spherical…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

The foundations are laid for the numerical computation of the actual worldline for a particle orbiting a black hole and emitting gravitational waves. The essential practicalities of this computation are here illustrated for a scalar…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler , Eirini Messaritaki , Bernard F. Whiting

We present a simple derivation of a point-source boundary condition for the Schwarzschild solution that relates the Schwarzschild radius to the mass of its source without appealing to the Newtonian limit. Interpretation of the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Peter Hayman

The Schwarzschild and Reissner-Nordstrom solutions to Einstein's equations describe space- times which contain spherically symmetric black holes. We consider solutions to the linear wave equation in the exterior of a fixed black hole space-…

Analysis of PDEs · Mathematics 2015-06-26 P. Blue , A. Soffer

We calculate the singular field of an accelerated point particle (scalar charge, electric charge or small gravitating mass) moving on an accelerated (non-geodesic) trajectory in a generic background spacetime. Using a mode-sum…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thomas M. Linz , John L. Friedman , Alan G. Wiseman

It is known that the Meissner-like effect is seen in a magnetosphere without an electric current in black hole spacetime: no non-monopole component of magnetic flux penetrates the event horizon if the black hole is extreme. In this paper,…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Yohsuke Takamori , Ken-ichi Nakao , Hideki Ishihara , Masashi Kimura , Chul-Moon Yoo