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In this paper we study geodesic motion around a distorted Schwarzschild black hole. We consider both timelike and null geodesics which are confined to the black hole's equatorial plane. Such geodesics generically exist if the distortion…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Andrey A. Shoom , Cole Walsh , Ivan Booth

We have investigated the motion of timelike particles along geodesic in the background of accelerating and rotating black hole spacetime. We confirmed that the chaos exists in the geodesic motion of the particles by Poincar\'e sections, the…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Songbai Chen , Mingzhi Wang , Jiliang Jing

We investigate the motion of particles in the spacetime of a Kerr black hole immersed in swirling universes. Using the Poincar\'{e} section, fast Lyapunov exponent indicator, bifurcation diagram and basins of attraction, we present the…

General Relativity and Quantum Cosmology · Physics 2024-10-11 Deshui Cao , Lina Zhang , Songbai Chen , Qiyuan Pan , Jiliang Jing

We consider the motion of test particles in the regular black hole space-time given by Ay\'{o}n-Beato and Garc\'{\i}a in Phys. Rev. Lett. 80:5056 (1998). The complete set of orbits for neutral and weakly charged test particles is discussed,…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alberto García , Eva Hackmann , Jutta Kunz , Claus Lämmerzahl , Alfredo Macías

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

In this work, we study the motion of a magnetized particle orbiting a static and spherically symmetric black hole immersed in an external asymptotically uniform magnetic field in Einstein-dilaton-Gauss-Bonnet gravity. Similar to the…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Romel M. Vargas , M. A. Cuyubamba

In this work the dynamics of a spinning particle moving in the Schwarzschild background is studied. In particular, the methods of Poincar\'{e} section and recurrence analysis are employed to discern chaos from order. It is shown that the…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Ondřej Zelenka , Georgios Lukes-Gerakopoulos , Vojtěch Witzany

We investigate analytically and numerically the orbits of spinning particles around black holes in the post Newtonian limit and in the presence of cosmic expansion. We show that orbits that are circular in the absence of spin, get deformed…

General Relativity and Quantum Cosmology · Physics 2019-05-22 I. Antoniou , D. Papadopoulos , L. Perivolaropoulos

A class of nonstationary spacetimes is obtained by means of a conformal transformation of the Schwarzschild metric, where the conformal factor $a(t)$ is an arbitrary function of the time coordinate only. We investigate several situations…

General Relativity and Quantum Cosmology · Physics 2017-05-05 Marina M. C. Mello , Alan Maciel , Vilson T. Zanchin

We consider quantum real massive scalar field in the de Sitter-Schwarzschild space-time backround. To have an analytic head way we study in detail the two-dimensional case, assuming that the situation in four dimensions will not be much…

High Energy Physics - Theory · Physics 2023-05-31 E. T. Akhmedov , K. V. Bazarov

We consider the motion of a point particle in a stationary spacetime under the influence of a scalar, electromagnetic or gravitational self-force. We show that the conservative piece of the first-order self-force gives rise to Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Francisco M. Blanco , Éanna É. Flanagan

We study the motion of a charged test particle in the spacetime with a spherically symmetric black hole which is immersed in a monopole magnetic field. We show that the radial motion of the charged test particle is governed by completely…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Ken-ichi Nakao , Yota Endo , Hideki Ishihara , Kenta Matsuo , Kensuke Sueto , Koudai Ueda , Hirotaka Yoshino

We examine the propagation of collisionless particles emitted from a spherical shell to infinity. The number distribution at infinity, calculated as a function of the polar angle, exhibits a small deviation from uniformity. The number of…

General Relativity and Quantum Cosmology · Physics 2009-05-20 Kentaro Takami , Yasufumi Kojima

The present work discusses motion of neutral and charged particles in Reissner - Nordstrom spacetime. The constant energy paths are derived in a variational principle framework using the Jacobi metric which is parameterized by conserved…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Praloy Das , Ripon Sk , Subir Ghosh

An study of the equatorial circular motion of photons and massive particles around a rotating compact body like a neutron star is presented. For this goal, we use an approximate Kerr-like metric with mass quadrupole as perturbation. The…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Diego Solano-Alfaro , Francisco Frutos-Alfaro

In this paper, all possible orbits of test particles are investigated by using phase plane method in regular Hayward black hole space-time. Our results show that the time-like orbits are divided into four types: unstable circular orbits,…

General Relativity and Quantum Cosmology · Physics 2019-10-11 Jian-Ping Hu , Yu Zhang

We calculate quantum fluctuations of a free scalar field in the Schwarzschild-de Sitter space-time, adopting the planar coordinates that is pertinent to the presence of a black hole in an inflationary universe. In a perturbation approach,…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-18 Hing-Tong Cho , Kin-Wang Ng , I-Chin Wang

Realistic modelling of radiation transfer in and from variable accretion disks around black holes requires the solution of the problem: find the constants of motion and equation of motion of a light-like geodesic connecting two arbitrary…

General Relativity and Quantum Cosmology · Physics 2009-03-01 Andrej Cadez , Uros Kostic

The motion of relativistic particles around three dimensional black holes following the Hamilton-Jacobi formalism is studied. It follows that the Hamilton-Jacobi equation can be separated and reduced to quadratures in analogy with the four…

General Relativity and Quantum Cosmology · Physics 2010-04-06 C. Farina , J. Gamboa , A. J. Segui-Santonja

In this note, we have analyzed the circular motion of test particles around the Schwarzschild-MOG black hole. First, we have studied the shadow cast by the spherical symmetric black hole within MOG gravity. It has been shown that due to the…

General Relativity and Quantum Cosmology · Physics 2023-08-28 Madina Boboqambarova , Bobur Turimov , Ahmadjon Abdujabbarov