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Geodesic motion in the spacetime of a static charged black hole in f(R) gravity

2016/05/29 by Saheb Soroushfar, Soroushfar, Saheb, Reza Saffari +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1605.08975

openalex publication_date 2016/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper we study the geodesic motion of test particles and light rays in the spacetime of a static charged black hole in f(R) gravity. The complete set of analytic solutions of the geodesic equations in the spacetime of this black hole are presented. The geodesic equations are solved in terms of Weierstrass elliptic \wp function and derivatives of Kleinian σ function. With the help of parametric diagrams and effective potentials we analyze the geodesic motion and give a list of all possible orbit types. The different types of the resulting orbits are characterized in terms of the conserved energy, angular momentum, charge and cosmological constant.

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