Version 1
: Received: 31 May 2023 / Approved: 1 June 2023 / Online: 1 June 2023 (12:24:38 CEST)
How to cite:
Albadawi, A. Motion of Particles in Schwarzschild Black Hole Surrounded by an External Electrostatic Field. Preprints2023, 2023060087. https://doi.org/10.20944/preprints202306.0087.v1
Albadawi, A. Motion of Particles in Schwarzschild Black Hole Surrounded by an External Electrostatic Field. Preprints 2023, 2023060087. https://doi.org/10.20944/preprints202306.0087.v1
Albadawi, A. Motion of Particles in Schwarzschild Black Hole Surrounded by an External Electrostatic Field. Preprints2023, 2023060087. https://doi.org/10.20944/preprints202306.0087.v1
APA Style
Albadawi, A. (2023). Motion of Particles in Schwarzschild Black Hole Surrounded by an External Electrostatic Field. Preprints. https://doi.org/10.20944/preprints202306.0087.v1
Chicago/Turabian Style
Albadawi, A. 2023 "Motion of Particles in Schwarzschild Black Hole Surrounded by an External Electrostatic Field" Preprints. https://doi.org/10.20944/preprints202306.0087.v1
Abstract
In this paper, we discussed the motion of neutral and charged particles in Schwarzschild black hole immersed in an electromagnetic universe (SEBH). The SEBH represents a mass M coupled to an external electromagnetic field that was derived from the metric of colliding electromagnetic waves with double polarization. Our study examine how the external electromagnetic field affects the trajectory of neutral and charged particles. First, the trajectories of both photon and test particle are studied. Then, the exact solutions for the trajectories are obtained in terms of the Jacobi-elliptic integrals for all possible energy and angular momentum of test particle and photon. We have also discussed the motion of charged particle and obtained the radius of the innermost circular orbit (ISCO). It is especially interesting when the charge sign is positive since this creates a conflict between gravitational (attraction force) and electric (repulsion force). Furthermore, we discuss the Lyapunov exponent and the effective force influencing particles in SEBH spacetime.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
