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arXiv · 1605.08976

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

Saheb Soroushfar·Reza Saffari·Sobhan Kazempour·Saskia Grunau·Jutta Kunz
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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 $\wp$, $\zeta$ and $\sigma$ functions as well as the Kleinian $\sigma$ 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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Saheb Soroushfar, Reza Saffari, Sobhan Kazempour, Saskia Grunau, Jutta Kunz. 2016-05-29. Detailed study of geodesics in the Kerr-Newman-(A)dS spactime and the rotating charged black hole spacetime in $f(R)$ gravity. https://doi.org/10.1103/physrevd.94.024052

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