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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

This paper systematically revisits the critical orbits of test particles moving in various black hole backgrounds, including the Schwarzschild, Reissner-Nordstr\"{o}m, Kerr, and Kerr-Newman spacetimes. We identify the critical orbit cases…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Ping Li , Jun Cheng , Jiang-he Yang

The motion of test particles along circular orbits in the vacuum $C$ metric is studied in the Frenet-Serret formalism. Special orbits and corresponding intrinsically defined geometrically relevant properties are selectively studied.

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Christian Cherubini , Andrea Geralico , Robert T. Jantzen

Phase space method provides a novel way for deducing qualitative features of nonlinear differential equations without actually solving them. The method is applied here for analyzing stability of circular orbits of test particles in various…

General Relativity and Quantum Cosmology · Physics 2009-11-13 A. Palit , A. Panchenko , N. G. Migranov , A. Bhadra , K. K. Nandi

We study the geodesics of massive particles around accelerating Schwarzschild black hole. We show that the radius of the innermost stable circular orbit increases and the angular momentum of particle at this orbit decreases by increasing…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Mohammad Bagher Jahani Poshteh

We study the geodesic motion of massless particles in singly rotating black ring spacetimes. We find stable stationary orbits of massless particles in toroidal spiral shape in the case that the thickness parameter of a black ring is less…

High Energy Physics - Theory · Physics 2013-05-08 Takahisa Igata , Hideki Ishihara , Yohsuke Takamori

Horizon scale imaging and precision lensing have turned black holes into quantitative laboratories for strong gravity and for non standard electromagnetic physics. We study the optical appearance and orbital dynamics of a new class of…

General Relativity and Quantum Cosmology · Physics 2026-03-12 İlim İrfan Çimdiker , Ali Övgün , Yosef Verbin

The geodesic equations are considered in static mass imbedded in a uniform electromagnetic field. Due to electromagnetic field horizon shrinks and geodesics are modified. By analyzing the behavior of the effective potentials for the…

General Physics · Physics 2019-07-24 A. Al-Badawi , M. Q. Owaidat , S. Tarawneh

We examine the dynamics of particles around a rotating regular black hole. In particular we focus on the effects of the characteristic length parameter of the spinning black hole on the motion of the particles by solving the equation of…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Brandon Bautista-Olvera , Juan Carlos Degollado , Gabriel German

We investigate the motion of a massive particle around a spherically symmetric black hole surrounded by a stationary and radial inflow of perfect fluid. The background spacetime is modelled as a spherically symmetric solution to the…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Ariadna Uxue Palomino Ylla , Yasutaka Koga , Chul-Moon Yoo

In this paper, we investigate the dynamics and gravitational-wave signatures of periodic orbits of spinning test particles moving in the equatorial plane around static, spherically symmetric black holes within the framework of Deser-Woodard…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Moisés Bravo-Gaete , Jianhui Lin , Yunlong Liu , Xiangdong Zhang

We consider circular particle motion under the action of an unspecified force in a static spherically symmetric spacetime. We derive the machinery that allows one to find the force acting on a circular particle and deduce whether its…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Hryhorii Ovcharenko , O. B. Zaslavskii

We present a novel method to study interacting orbits in a fixed mean gravitational field associated with a solution of the Einstein field equations. The idea is to consider the Newton gravity among the orbiting particles in a geometry…

Astrophysics · Physics 2007-05-23 Eduardo Gueron , Patricio S. Letelier

Unique features of particle orbits produce novel signatures of gravitational observable phenomena, and are quite useful in testing compact astrophysical objects in general relativity or modified theories of gravity. Here we observe a…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Shao-Wen Wei , Yu-Peng Zhang , Yu-Xiao Liu , Robert B. Mann

We investigate the dynamics of a neutral and a charged particle around a static and spherically symmetric black hole in the presence of quintessence matter and external magnetic field. We explore the conditions under which the particle…

General Relativity and Quantum Cosmology · Physics 2015-01-26 Mubasher Jamil , Saqib Hussain , Bushra Majeed

We present exact black hole solutions endowed with magnetic charge coming from exponential and logarithmic nonlinear electrodynamics (NLED). Classically, we analyze the null and timelike geodesics, all of which contain both the bound and…

General Relativity and Quantum Cosmology · Physics 2021-12-14 A S. Habibina , B. N. Jayawiguna , H. S. Ramadhan

Circular orbits of spinning test particles and their stability in Schwarzschild-like backgrounds are investigated. For these space-times the equations of motion admit solutions representing circular orbits with particles spins being…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Morteza Mohseni

To model magnetic fields of compact objects we solve the Maxwell equations in the background of the exterior static Schwarzschild and slowly rotating Kerr space-times. We impose the boundary condition that the electromagnetic fields are to…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Richard Kerner , Gideon Koekoek , Julia Schuring , Jan-Willem van Holten

In this paper, we have investigated the geodesics of neutral particles near a five-dimensional charged black hole using a comparative approach. The effective potential method is used to determine the location of the horizons and to study…

General Relativity and Quantum Cosmology · Physics 2012-05-22 Sarbari Guha , Pinaki Bhattacharya , Subenoy Chakraborty

We study the circular orbits of charged particles around a weakly charged Schwarzschild black hole immersed in a weak, axisymmetric magnetic field. We start by reviewing the circular orbits of neutral particles and charged particles around…

General Relativity and Quantum Cosmology · Physics 2022-08-31 A. M. Al Zahrani
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