Geodesics of a Static Charged Black Hole Spacetime in f (R) Gravity

Authors

Prateek Sharma, Department of Physics, Gurukula Kangri (Deemed to be University), Uttarakhand, Haridwar, 249 404, India
Hemwati Nandan, Department of Physics, Gurukula Kangri (Deemed to be University), Uttarakhand, Haridwar, 249 404, India
Gamal Nashed, The British University in Egypt
Shobhit Giri, Department of Physics, Gurukula Kangri (Deemed to be University), Uttarakhand, Haridwar, 249 404, India
Amare Abebe, Center for Space Research, North-West University, Mahikeng, 2745, South Africa

Document Type

Article

Publication Date

2-2022

Abstract

In recent years, the modification of general relativity (GR) through f (R) gravity is widely used to study gravity in a variety of scenarios. In this article, we study various physical properties of a black hole (BH) that emerged in the linear Maxwell f (R) gravity to constrain the values of different BH parameters, i.e., c and α. In particular, we study those values of the defining α and c for which the particles around the above-mentioned BH behave like other astrophysical BH in GR. The main motivation of the present research is to study the geodesics equations and discuss the possible orbits for c = 0.5 in detail. Furthermore, the frequency shift of a photon emitted by a timelike particle orbiting around the BH is studied given different values of α and c. The stability of both timelike and null geodesics is discussed via Lyapunov’s exponent.

Comments

Symmetry Volume 14, Issue 2 February 2022 Article number 309

Recommended Citation

Sharma, Prateek; Nandan, Hemwati; Nashed, Gamal; Giri, Shobhit; and Abebe, Amare, "Geodesics of a Static Charged Black Hole Spacetime in f (R) Gravity" (2022). Centre for Theoretical Physics and Computations. 310.
https://buescholar.bue.edu.eg/centre_theoretical_physics/310