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Circular time-like geodesics around a charged spherically symmetric dilaton black hole

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arxiv 1406.7421 v1 pith:5TLWIA4Y submitted 2014-06-28 gr-qc

Circular time-like geodesics around a charged spherically symmetric dilaton black hole

classification gr-qc
keywords circularblackholetime-likechargeddilatongeodesicsnear
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this note we examine the circular time-like geodesics near a spherically symmetric dilaton black hole, described using the exact solution for a static charged black hole found by Gibbons and Maeda and, independently, by Garfinkle, Horowitz and Strominger. The existence and stability of the circular orbits are analysed using the effective potential of a free material test particle moving on time-like geodesic near this black hole. We determine the radius of the innermost stable circular orbit, the radius of the shortest circular orbit and compare our results with those obtained by other authors for specific values of the parameters involved in our analysis.

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