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

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arxiv 1504.07854 v2 pith:ZR4OALQR submitted 2015-04-29 gr-qc

Saheb Soroushfar , Reza Saffari , Jutta Kunz , Claus Lämmerzahl This is my paper · ORCID
classification gr-qc
keywords blackgeodesicholespacetimeconstantequationfunctionsgravity
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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 are 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 $\Lambda$ and the real constant $\beta$.

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  1. Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

    gr-qc 2022-05 conditional novelty 5.0 of 10

    EHT observations of Sgr A* constrain deviations from GR black hole solutions including regular BHs, string-inspired spacetimes, and BH mimickers, with some limits exceeding cosmological bounds.

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