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Exact analytic expressions for planetary orbits and light trajectories in the Reissner-Nordstrom geometry are presented. They are characterized in a map specified by three dimensionless parameters for the planetary orbits, while two…

General Relativity and Quantum Cosmology · Physics 2014-03-07 F. T Hioe

Using a recently found black hole solution in the framework of the Poincar{\'e} gauge theory of gravity, we study gravitational lensing for a system where the lens is a static spherically symmetric black hole. By analyzing the equations of…

General Relativity and Quantum Cosmology · Physics 2021-10-19 Saboura Sadat Zamani , Siamak Akhshabi

Gravitational lensing of luminous matter that surrounds a black hole or some other sufficiently compact object produces an infinite sequence of images. Besides the direct (or primary) image, it comprises demagnified and deformed replicas of…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Fabio Aratore , Oleg Yu. Tsupko , Volker Perlick

Within the framework of noncommutative (NC) deformation of gauge field theory by the angular twist, we first rederive the NC scalar and gauge field model from our previous papers and then generalize it to the second order in the…

High Energy Physics - Theory · Physics 2025-01-15 Marija Dimitrijević Ćirić , Tajron Jurić , Nikola Konjik , Andjelo Samsarov , Ivica Smolić

A certain type of matter with anisotropic pressures can add to the Reissner-Nordstr\"om metric a term proportional to a power of the radial coordinate. Using the standard method of separating variables for the Hamilton-Jacobi equation, we…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Javier Badía , Ernesto F. Eiroa

The purpose of this study is the derivation of the equation of motion for particles and light in the spacetime of Reissner-Nordstr\"{o}m-(anti-)de Sitter black holes in the background of different kinds of regular and exotic matter fields.…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Arindam Kumar Chatterjee , Kai Flathmann , Hemwati Nandan , Anik Rudra

We investigate the affine perturbation series of the deflection angle of a ray near the photon sphere of an extreme Reissner-Nordstr\"{o}m black hole. We compare the 0th and 1st orders of the affine perturbation series with the deflection…

General Relativity and Quantum Cosmology · Physics 2022-10-25 Naoki Tsukamoto

We apply the Linear Delta Expansion (LDE) to the Lindstedt-Poincare (``distorted time'') method to find improved approximate solutions to nonlinear problems. We find that our method works very well for a wide range of parameters in the case…

Mathematical Physics · Physics 2016-09-07 Paolo Amore , Alfredo Aranda

The metric for a Reissner-Nordstr$\ddot{o}$m black hole in the background of the Friedman-Robertson-Walker universe is obtained. Then we verified it and discussed the influence of the evolution of the universe on the size of the black hole.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Chang Jun Gao , Shuang Nan Zhang

We study the light deflection effect and the relativistic periastron and frame-dragging precessions for a rotating black hole localized on the brane in the Randall-Sundrum braneworld scenario. Focusing on a light ray, which passes through…

General Relativity and Quantum Cosmology · Physics 2009-09-01 Alikram N. Aliev , Pamir Talazan

The gravitational deflection of light signals restricted in the polar-axis plane of a moving Kerr-Newman (KN) black hole with a constant velocity along the polar axis is studied within the second post-Minkowskian (PM) approximation. For…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Xuan Wang , Wenbin Lin , Bo Yang , Guansheng He

Poincar\'e Gauge's theory of gravity is the most noteworthy alternative extension of general relativity that has a correspondence between spin and spacetime geometry. In this paper, we use Reissner-Nordstrom-de Sitter and anti-de Sitter…

General Relativity and Quantum Cosmology · Physics 2022-12-23 Reggie C. Pantig , Ali Övgün

We consider the bending of light around a compact astrophysical object with both the electric field and the magnetic field in Einstein-Born-Infeld theory. From the null geodesic of a light ray passing a massive object with electric charge…

General Relativity and Quantum Cosmology · Physics 2024-10-21 Jin Young Kim

Based on the Jacobi metric method, this paper studies the deflection of a charged massive particle by a novel four-dimensional charged Einstein-Gauss-Bonnet black hole. We focus on the weak field approximation and consider the deflection…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Zonghai Li , Yujie Duan , Junji Jia

We examine a class of charged black holes in scalar-tensor gravity as gravitational lenses. We find the deflection angle in the strong deflection limit, from which we obtain the positions and the magnifications of the relativistic images.…

General Relativity and Quantum Cosmology · Physics 2014-12-01 Ernesto F. Eiroa , Carlos M. Sendra

We construct a Lagrangian and Hamiltonian formulation for charged black holes in a d-dimensional maximally symmetric spherical space. By considering first new variables that give raise to an interesting dimensional reduction of the problem,…

General Relativity and Quantum Cosmology · Physics 2013-06-13 J. A. Nieto , E. A. Leon , V. M. Villanueva

Dirac equation is separable in curved space-time and its solution was found for both spherically and axially symmetric geometry. But most of the works were done without considering the charge of the black hole. Here we consider the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Banibrata Mukhopadhyay

The deflection of light in the strong field limit is an important test for alternative theories of gravity. However, solutions for the metric that allow for analytic computations are not always available. We implement a hybrid…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Javier Chagoya , C. Ortiz , Benito Rodríguez , Armando A. Roque

Most distinguishing features of black holes and their mimickers are concentrated near the horizon. In contrast, astrophysical observations and theoretical considerations primarily constrain the far-field geometry. In this work we develop…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Swayamsiddha Maharana , Fil Simovic , Ioannis Soranidis , Daniel R. Terno

In this paper, we present charged spherically symmetric black hole solutions and slowly rotating charged solutions in bumblebee gravity with and without a cosmological constant. The static spherically symmetric solutions describe the…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Jia-Zhou Liu , Wen-Di Guo , Shao-Wen Wei , Yu-Xiao Liu