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In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the gravitational deflection of light in General Relativity near Schwarzschild black hole surrounded by quintessence (Kiselev…

General Relativity and Quantum Cosmology · Physics 2019-02-22 V. K. Shchigolev , D. N. Bezbatko

We study the null geodesics in a static circularly symmetric (SCS) black hole spacetime which is a solution in the $(2+1)$-dimensional massive gravity proposed by Bergshoeff, Hohm and Townsend (BHT massive gravity). We obtain analytic…

General Relativity and Quantum Cosmology · Physics 2019-07-23 Keisuke Nakashi , Shinpei Kobayashi , Shu Ueda , Hiromi Saida

In this work, we systematically investigate the null geodesics of electrically charged black holes in a gravitational framework that incorporates Lorentz violation induced by a background Kalb-Ramond (KR) field, in the presence of…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Faizuddin Ahmed , Mohsen Fathi , Edilberto O. Silva

We study the light rays in a static and spherically symmetric gravitational field of null aether theory (NAT). To this end, we employ the Gauss-Bonnet theorem to compute the deflection angle by a NAT black hole in the weak limit…

General Relativity and Quantum Cosmology · Physics 2021-01-12 A. Övgün , İ. Sakallı , J. Saavedra

In this work we have obtained a charged black hole solution in the presence of perfect fluid dark matter (PFDM) and discuss its energy conditions. The metric corresponding to the rotating avatar of this black hole solution is obtained by…

General Relativity and Quantum Cosmology · Physics 2021-02-23 Anish Das , Ashis Saha , Sunandan Gangopadhyay

In this paper, we studied the geodesics of timelike and null like particles near an improved Schwarzschild black hole. The lapse function has been plotted and was found that only one horizon is possible. The equation of motion and effective…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Surajit Mandal

We study the influence of phantom fields on strong field gravitational lensing. Supposing that the gravitational field of the supermassive central object of the Galaxy is described by a phantom black hole metric, we estimate the numerical…

General Relativity and Quantum Cosmology · Physics 2013-11-14 Chikun Ding , Changqing Liu , Yuanyuan Xiao , Liqun Jiang , Rong-Gen Cai

In this paper, charged black holes in general relativity coupled to Born-Infeld electrodynamics are studied as gravitational lenses. The positions and magnifications of the relativistic images are obtained using the strong deflection limit,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ernesto F. Eiroa

We study the nature of particle geodesics around a non-linear electrodynamic black hole (NLED-BH) inspired by the confinement of a heavy quark-antiquark system, which reduces to Maxwell's linear electrodynamics theory at the strong field…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Hari Prasad Saikia , Mrinnoy M. Gohain , Kalyan Bhuyan

The null geodesics of a Schwarzschild black hole are studied from a dynamical systems perspective. Written in terms of Kerr-Schild coordinates, the null geodesic equation takes on the simple form of a particle moving under the influence of…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Edward Belbruno , Frans Pretorius

This work aims to explore the gravitational consequences of a recently proposed black hole solution presented in the literature [Phys. Dark Univ. 50 (2025) 102061]. We initiate our analyzes by taking into account the horizon structure,…

General Relativity and Quantum Cosmology · Physics 2025-09-18 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo

We revisit the gravitational lensing of light or gravitational waves by Schwarzschild black hole in geometric optics. Instead of a single massless particle, we investigate the collective behavior of a congruence of light/gravitational rays,…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Zhao Li , Xiao Guo , Tan Liu , Tao Zhu , Wen Zhao

In this paper, we examine the physical consequences of a recently introduced black hole solution in bumblebee gravity [1]. The geometry is first presented and then reformulated through suitable coordinate adjustments, which make its global…

General Relativity and Quantum Cosmology · Physics 2026-04-02 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo , V. B. Bezerra

We investigate a new model of nonlinear electromagnetic field coupled with the gravitation field. The black hole solution is obtained possessing the asymptotic Reissner-Nordstr\"om solution. The electric field has the finite value at the…

General Physics · Physics 2015-04-16 S. I. Kruglov

We extend the study of the possibility to use the Schwarzschild black hole as a gravitational mirror to the more general case of an uncharged Kerr black hole. We use the null geodesic equation in the equatorial plane to prove a theorem…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Claes R Cramer

We introduce an exactly solvable example of timelike geodesic motion and geodesic deviation in the background geometry of a well-known two-dimensional black hole spacetime. The effective potential for geodesic motion turns out to be either…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ratna Koley , Supratik Pal , Sayan Kar

In this paper, we address a theoretical investigation of the gravitational lensing phenomenon within the space-time framework of a holonomy-corrected spherically symmetric black hole (BH), incorporating both ordinary and phantom global…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Faizuddin Ahmed

In this work, we investigate geodesics and black hole shadows in the Kerr-Bertotti-Robinson spacetime. We show that the equations of motion for null geodesics are separable and admit analytical treatment, whereas timelike geodesics are…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Xinyu Wang , Yehui Hou , Xi Wan , Minyong Guo , Bin Chen

According to Penrose effect, particles with negative energy can exist in the ergospheres of rotating black holes. We analyze geodesics for such particles and show that there are no circular and elliptic orbits in the ergosphere of a…

General Relativity and Quantum Cosmology · Physics 2022-10-11 Vitalii Vertogradov

Based on the geodesic equation in a static spherically symmetric metric we discuss the rotation curve and gravitational lensing. The rotation curve determines one function in the metric without assuming Einstein's equations. Then lensing is…

Astrophysics of Galaxies · Physics 2011-01-26 Gunter Scharf , Gerhard Braunlich