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In this work we address the study of null geodesics in the background of Reissner-Nordstr\"om Anti de Sitter black holes. We compute the exact trajectories in terms of elliptic functions of Weierstrass, obtaining a detailed description of…

General Relativity and Quantum Cosmology · Physics 2011-11-04 Norman Cruz , Marco Olivares , Joel Saavedra , J. R. Villanueva

We study the time-like geodesic congruences, in the space-time geometry of a Schwarzschild black hole surrounded by quintessence. The nature of effective potential along with the structure of the possible orbits for test particles in view…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Rashmi Uniyal , N. Chandrachani Devi , Hemwati Nandan , K. D. Purohit

We present a model of the gravitational field based on two symmetric tensors. Gravity is affected by the new field, but outside matter the predictions of the model coincide exactly with general relativity, so all classical tests are…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Jorge Alfaro , Pablo González

Geodesic equations of timelike and null charged particles in the Ernst metric are studied. We consider two distinct forms of the Ernst solution where the Maxwell potential represents either a uniform electric or magnetic field. Circular…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Yen-Kheng Lim

Analysis of black hole spacetimes requires study of the motion of particles and light in these spacetimes. Here exact solutions of the geodesic equations are the means of choice. Numerous interesting black hole spacetimes have been analyzed…

General Relativity and Quantum Cosmology · Physics 2022-06-14 Saskia Grunau , Jutta Kunz

In this paper, we study the gravitational lensing by some black hole classes within the non-linear electrodynamics in weak field limits. First, we calculate an optical geometry of the non-linear electrodynamics black hole then we use the…

General Relativity and Quantum Cosmology · Physics 2022-03-22 H. El Moumni , K. Masmar , Ali Övgün

In this work, we study the gravitational lensing by a Lorentz-violating (LV) black hole inspired by the recent contribution [1]. Explicitly, we concentrate on a specific application: we perform the computation of gravitational lensing…

General Relativity and Quantum Cosmology · Physics 2025-11-21 A. A. Araújo Filho , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

We study the bending of light for static spherically symmetric (SSS) space-times which include a dark energy contribution. Geometric dark energy models generically predict a correction to the Einstein angle written in terms of the distance…

Astrophysics · Physics 2008-11-26 Fabio Finelli , Matteo Galaverni , Alessandro Gruppuso

We study the null geodesics in the extremal Kerr-Newman exterior. We clarify the roots of the radial potential and obtain the parameter space of the azimuthal angular momentum and the Carter constant of the light rays for varieties of the…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Bo-Ruei Chen , Tien Hsieh , Da-Shin Lee

The radial motion along null geodesics in static charged black hole space-times, in particular, the Reissner-Nordstr\"om and stringy charged black holes are studied. We analyzed the properties of the effective potential. The circular photon…

Mathematical Physics · Physics 2015-02-06 Ragab M. Gad

In this paper, we study an asymptotically flat black hole spacetime with weakly nonminimally coupled monopole charge. We analytically and numerically investigate light ray propagation around such a black hole by employing the common…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Mohsen Fathi , J. R. Villanueva , Thiago R. P. Caramês , Alejandro Morales-Díaz

We study the geodesic motions of a test particle around 2+1 dimensional charged black holes. We obtain a class of exact geodesic motions for the massless test particle when the ratio of its energy and angular momentum is given by square…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Dong Hyun Park , Seung-ho Yang

In this article we analyze the geodesics of test particles and light in the five dimensional (charged) doubly spinning black ring spacetime. Apparently it is not possible to separate the Hamilton-Jacobi-equation for (charged) doubly…

General Relativity and Quantum Cosmology · Physics 2013-03-27 Saskia Grunau , Valeria Kagramanova , Jutta Kunz

We develop an iterative approach to gravitational lensing theory based on approximate solutions of the null geodesic equations. The approach can be employed in any space-time which is ``close'' to a space-time in which the null geodesic…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thomas P. Kling , Ezra T. Newman , Alejandro Perez

Since the development of Relativity theory, a variety of solutions have been found around Einstein field equations, depending on the time-space. For instance, we can find the axially symmetric space which describes a rotanting black hole.…

General Relativity and Quantum Cosmology · Physics 2014-09-08 Jonathan Pineda , Leonardo Castañeda , Juan Manuel Tejeiro

We briefly summarise the basic properties of spacetimes representing rotating, charged black holes in strong axisymmetric magnetic fields. We concentrate on extremal cases, for which the horizon surface gravity vanishes. We investigate…

General Relativity and Quantum Cosmology · Physics 2015-10-02 Filip Hejda , Jiří Bičák

We study photon orbits within (1+2)-dimensional Einstein-power-Maxwell non-linear electrodynamics assuming a static and circularly symmetric background. An exact analytical solution to the null geodesic equations for light rays is obtained…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Grigoris Panotopoulos , Angel Rincon

Tidal perturbations play an important role in the study of the dynamics in the classical two-body system. Understanding tidal effects in strong-field regions may allow one to use gravitational-wave or electromagnetic observations to locate…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Vitor Cardoso , Arianna Foschi

We present GravLensX, an innovative method for rendering black holes with gravitational lensing effects using neural networks. The methodology involves training neural networks to fit the spacetime around black holes and then employing…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Mingyuan Sun , Zheng Fang , Jiaxu Wang , Kunyi Zhang , Qiang Zhang , Renjing Xu

In this paper, we consider the timelike and null geodesics around the static [GMGHS (Gibbons, Maeda, Garfinkle, Horowitz and Strominger), magnetically charged GMGHS, electrically charged GMGHS] and the rotating (Kerr-Sen dilaton-axion)…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Saheb Soroushfar , Reza Saffari , Ehsan Sahami
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