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arxiv: 1504.07854 · v2 · pith:ZR4OALQRnew · submitted 2015-04-29 · 🌀 gr-qc

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

Saheb Soroushfar , Reza Saffari , Jutta Kunz , Claus L\"ammerzahl This is my paper
classification 🌀 gr-qc
keywords blackgeodesicholespacetimeconstantequationfunctionsgravity
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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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