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arxiv: 1605.08975 · v2 · pith:S6N6UPMSnew · submitted 2016-05-29 · 🌀 gr-qc

Geodesic motion in the spacetime of a static charged black hole in f(R) gravity

classification 🌀 gr-qc
keywords geodesicblackholemotionspacetimechargedequationsfunction
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In the present paper we study the geodesic motion of test particles and light rays in the spacetime of a static charged black hole in $f(R)$ gravity. The complete set of analytic solutions of the geodesic equations in the spacetime of this black hole are presented. The geodesic equations are solved in terms of Weierstrass elliptic $\wp$ function and derivatives of Kleinian $\sigma$ function. With the help of parametric diagrams and effective potentials we analyze the geodesic motion and give a list of all possible orbit types. The different types of the resulting orbits are characterized in terms of the conserved energy, angular momentum, charge and cosmological constant.

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