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Detailed study of geodesics in the Kerr-Newman-(A)dS spacetime and the rotating charged black hole spacetime in f(R) gravity

Saheb Soroushfar1, Reza Saffari1,*, Sobhan Kazempour1, Saskia Grunau2, and Jutta Kunz2

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

  • *rsk@guilan.ac.ir
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Phys. Rev. D 94, 024052 – Published 26 July, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.024052

Abstract

We perform a detailed study of the geodesic equations in the spacetime of the static and rotating charged black hole corresponding to the Kerr-Newman-(A)dS spacetime. We derive the equations of motion for test particles and light rays and present their solutions in terms of the Weierstrass ℘, ζ, and σ functions as well as the Kleinian σ function. With the help of parametric diagrams and effective potentials, we analyze the geodesic motion and classify the possible orbit types. This spacetime is also a solution of f(R) gravity with a constant curvature scalar.

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Phys. Rev. D 94, 024052– Published 26 July, 2016
  • Received 1 June 2016

© 2016 American Physical Society

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