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A simple phenomenological extension of the black hole solution with tidal charge is proposed. Empirical data on the Sgr A* is consistent with the suggested metric which serves as a generalisation of the Reissner-Nordstrom one. Such a…

General Relativity and Quantum Cosmology · Physics 2019-04-10 S. O. Alexeyev , B. N. Latosh , V. A. Prokopov , E. D. Emtsova

We investigate strong gravitational lensing by a marginally unstable photon sphere in a Reissner-Nordstr\"{o}m naked singularity spacetime. Using the Picard-Fuchs equation, we derive full-order power series expressions for the deflection…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Tadashi Sasaki

The exact metric of a Schwarzschild black hole in the true radiation gauge was recently reported. In this work, we base on this gravity and calculate the gravitational deflection of relativistic massive particles up to the fourth…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Zonghai Li , Xia Zhou , Weijun Li , Guansheng He

We consider perturbative solutions to the classical field equations coming from a quadratic gravitational lagrangian in four dimensions. We study the charged, spherically symmetric black hole and explicitly give corrections up to third…

General Relativity and Quantum Cosmology · Physics 2016-08-24 M. Campanelli , C. O. Lousto , J. Audretsch

This paper focuses on the motion of a test particle moving around the Reissner-Nordstrom black hole. It deals with circular motion and radial motion of the neutral massive test particles, and shortly handles circular motion of the charged…

General Relativity and Quantum Cosmology · Physics 2017-10-06 Moonju Hong

We study the gravitational lensing scenario where the lens is a spherically symmetric charged black hole (BH) surrounded by quintessence matter. The null geodesic equations in the curved background of the black hole are derived. The…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Mustapha Azreg-Aïnou , Sebastian Bahamonde , Mubasher Jamil

The harmonic metric for a moving Kerr black hole is presented in the second post-Minkowskian approximation. It is further demonstrated that the obtained metric is consistent with the Li\'{e}nard-Wiechert gravitational potential for a moving…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Guansheng He , Chunhua Jiang , Wenbin Lin

We use our previously developed identification of dispersion relations with Hamilton functions on phase space to locally implement the $\kappa$-Poincar\'e dispersion relation in the momentum spaces at each point of a generic curved…

General Relativity and Quantum Cosmology · Physics 2017-10-10 Leonardo Barcaroli , Lukas K. Brunkhorst , Giulia Gubitosi , Niccoló Loret , Christian Pfeifer

The metric and the electromagnetic potential generated by a static, spherically symmetric charged massive object in any dimension are given by the Reissner-Nordstr\"om-Tangherlini solution. We derive the expansion of this solution up to…

High Energy Physics - Theory · Physics 2022-09-19 Simone D'Onofrio , Federica Fragomeno , Claudio Gambino , Fabio Riccioni

Light rays passing very close to black holes may wind several times before escaping. For any given electromagnetic source around the black hole, a distant observer would thus observe two infinite sequences of images on either side of the…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Fabio Aratore , Valerio Bozza

Photons emitted by light sources in the neighbourhood of a black hole can wind several times around it before fleeing towards the observer. For spherically symmetric black holes, two infinite sequences of images are created for any given…

General Relativity and Quantum Cosmology · Physics 2021-10-27 F. Aratore , V. Bozza

We derive the second-order post-Minkowskian solution for the small-deflection motion of test particles in the external field of the Kerr-Newman black hole via an iterative method. The analytical results are exhibited in the coordinate…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Bo Yang , Chunhua Jiang , Wenbin Lin

We study the scattering of charged massive particles impinging on a Reissner-Nordstr\"{o}m (RN) black hole immersed in perfect fluid dark matter (PFDM). We obtain an approximation of absorption cross section in the low-frequency regime via…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Hai Huang , Xudong Sun , Juhua Chen

In this paper we study the strong gravitational lensing scenario where the lens is a Reissner-Nordstrom black hole. We obtain the basic equations and show that, as in the case of Schwarzschild black hole, besides the primary and secondary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ernesto F. Eiroa , Gustavo E. Romero , Diego F. Torres

Semiclassical perturbations to the Reissner-Nordstrom metric caused by the presence of a quantized massive scalar field with arbitrary curvature coupling are found to first order in \epsilon = \hbar/M^2. The DeWitt-Schwinger approximation…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Brett E. Taylor , William A. Hiscock , Paul R. Anderson

Higher-order photon rings can be expected to be detected in a more detailed image of the black hole found in future observations. These rings are lensed images of the luminous matter surrounding the black hole and are formed by photons that…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Oleg Yu. Tsupko

ModMax is a nonlinear electrodynamics theory with the same symmetries as Maxwell electrodynamics. Static spherically symmetric solutions have been derived by coupling ModMax electrodynamics with the Einstein equations, which can represent a…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Elda Guzman-Herrera , Nora Breton

WKB approximation methods are applied to the case of a massive scalar field around a 5-dimensional Reissner-Nordstr\"om black hole. The divergences are explicitly isolated and the cancellation against the Schwinger-De Witt counter-terms…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Gonçalo M. Quinta , Antonino Flachi , José P. S. Lemos

Light deflection in the post-linear gravitational field of two bounded point-like masses is treated. Both the light source and the observer are assumed to be located at infinity in an asymptotically flat space. The equations of light…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Michael H. Brügmann

In this paper, the weak gravitational lensing phenomenon for a recently proposed rotating regular black hole with an asymptotically Minkowski core characterized by a sub-Planckian curvature was investigated. Using the Gauss-Bonnet Theorem,…

General Relativity and Quantum Cosmology · Physics 2024-11-01 Miles Angelo P. Sodejana