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We study static black holes in quadratic gravity with planar and hyperbolic symmetry and non-extremal horizons. We obtain a solution in terms of an infinite power-series expansion around the horizon, which is characterized by two…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Alena Pravdova , Vojtech Pravda , Marcello Ortaggio

We compute the semiclassical current and stress-energy fluxes both at the event and Cauchy horizon of a near-extremal Reissner-Nordstr\"om black hole. We consider a minimally-coupled, massless, charged scalar field in the Unruh state,…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Maria Alberti , Jochen Zahn

We develop a systematic approach to calculating the electrostatic force between point charges in an arbitrary geometry with arbitrary boundary conditions. When the boundary is present, the simple expression for the force acting on a charge…

Classical Physics · Physics 2007-05-23 Alexander Silbergleit , Ilya Nemenman , Ilya Mandel

We use the Dirac equation in a fixed black hole background and different independent techniques to demonstrate the absence of fermionic bound states around a Schwarzschild black hole. In particular, we show that no embedded eigenvalues…

General Relativity and Quantum Cosmology · Physics 2017-01-17 Davide Batic , Marek Nowakowski , Kirk Morgan

The Abelian Born-Infeld classical non-linear electrodynamic has been used to investigate the electric and magnetostatic fields generated by a point-like electrical charge at rest in an inertial frame. The results show a rich internal…

High Energy Physics - Theory · Physics 2008-11-26 S. O. Vellozo , Jose A. Helayel-Neto , A. W. Smith , L. P. G. De Assis

In this Letter, we discuss the dynamics of a domain wall universe embedded into the charged black hole spacetime of the Einstein-Born-Infeld (EBI) theory. There are four kinds of possible spacetime structures, i.e., those with no horizon,…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Bum-Hoon Lee , Wonwoo Lee , Masato Minamitsuji

Using an algebraic condition of vanishing discriminant for multiple roots of fourth degree polynomials we derive an analytical expression of a shadow size as a function of a charge in the Reissner -- Nordstr\"om (RN) metric…

General Relativity and Quantum Cosmology · Physics 2021-08-06 Alexander F. Zakharov

We study Maxwell theory, in the presence of charged scalar sources, near the black hole horizon in a partial wave basis. We derive the gauge field configuration that solves Maxwell equations in the near-horizon region of a Schwarzschild…

High Energy Physics - Theory · Physics 2024-02-22 Fabiano Feleppa , Nava Gaddam , Nico Groenenboom

According to the Einstein, Weinberg, and M{\o}ller energy-momentum complexes, we evaluate the energy distribution of the singularity-free solution of the Einstein field equations coupled to a suitable nonlinear electrodynamics suggested by…

General Relativity and Quantum Cosmology · Physics 2011-08-24 I-Ching Yang , Chi-Long Lin , Irina Radinschi

We calculate the self-force acting on a particle with scalar charge moving on a generic geodesic around a Schwarzschild black hole. This calculation requires an accurate computation of the retarded scalar field produced by the moving…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roland Haas

We present numerical evidences for the existence of rotating black hole solutions in d-dimensional Einstein-Maxwell theory with a cosmological constant and for $d$ odd. The metric used possesses $(d+1)/2$ Killing vectors and the solutions…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Y. Brihaye , T. Delsate

Extensions of Einstein gravity with higher-order derivative terms arise in string theory and other effective theories, as well as being of interest in their own right. In this paper we study static black-hole solutions in the example of…

High Energy Physics - Theory · Physics 2015-05-06 H. Lu , A. Perkins , C. N. Pope , K. S. Stelle

Perturbations of Schwarzschild-Droste black holes in the Regge-Wheeler gauge benefit from the availability of a wave equation and from the gauge invariance of the wave function, but lack smoothness. Nevertheless, the even perturbations…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Sofiane Aoudia , Alessandro D. A. M. Spallicci

We investigate the possibility of having the electrically charged Reissner-Nordstrom black hole in the gravity localized models in a brane world. It is shown that the Reissner-Nordstrom black hole exists as a solution in the 5D…

High Energy Physics - Theory · Physics 2007-05-23 Ichiro Oda

We summarize the main features of a class of \emph{asymptotically anomalous} (asymptotically flat, but non Schwarzschild-like) gravitational configurations in models of gravitating non-linear electrodynamics in three space dimensions, whose…

General Relativity and Quantum Cosmology · Physics 2013-04-24 J. Diaz-Alonso , D. Rubiera-Garcia

The electric and magnetic black hole solutions are found by coupling the recently introduced nonlinear electrodynamics (NED) model, called "double logharitmic nonlinear electrodynamics" with cosmological Einstein gravity. The solutions…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Ibrahim Gullu , S. Habib Mazharimousavi

We present solutions of the Einstein equations that extend the static Schwarzschild solution in empty space into regions of non-zero energy density $\rho$ and radial pressure $p= w \rho$, where $w$ is a constant equation of state parameter.…

General Physics · Physics 2019-09-10 André LeClair

The stress-energy tensor of a free quantized scalar field is calculated in the extreme Reissner-Nordstr\"{o}m black hole spacetime in the zero temperature vacuum state. The stress-energy appears to be regular on the event horizon, contrary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul R. Anderson , William A. Hiscock , Daniel J. Loranz

We consider $5$ dimensional electrostatic solutions to Einstein-Maxwell gravity with $2$ commuting spacelike Killing fields. Taking two distinct reductions from $5$ dimensions to a $3$ dimensional base space, we write the Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Fred Tomlinson

We give a full metric describing the gravitational field of a static and axisymmetric thin disk without radial pressure encircling a Schwarzschild black hole. The disk density profiles are astrophysically realistic, stretching from the…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Petr Kotlařík , David Kofroň