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Analytical solutions of the geodesic equation in the spacetime of a black hole in f(R) gravity

Saheb Soroushfar1, Reza Saffari1,*, Jutta Kunz2, and Claus Lämmerzahl2,3

  • 1Department of Physics, University of Guilan, 41335-1914 Rasht, Iran
  • 2Institut für Physik, Universität Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany
  • 3ZARM, University of Bremen, Am Fallturm, 28359 Bremen, Germany

  • *rsk@guilan.ac.ir
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Phys. Rev. D 92, 044010 – Published 11 August, 2015

DOI: https://doi.org/10.1103/PhysRevD.92.044010

Abstract

We consider the motion of test particles in the spacetime of a black hole in f(R) gravity. The complete set of analytic solutions of the geodesic equation in the spacetime of this black hole is presented. The geodesic equations are solved in terms of Weierstrass elliptic functions and derivatives of Kleinian sigma functions. The different types of the resulting orbits are characterized in terms of the conserved energy and angular momentum as well as the cosmological constant (Λ) and the real constant (β).

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Phys. Rev. D 92, 044010– Published 11 August, 2015
  • Received 4 May 2015

© 2015 American Physical Society

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