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Timelike geodesics around a charged spherically symmetric dilaton black hole
In this paper we study the timelike geodesics around a spherically symmetric
charged dilaton black hole. The trajectories around the black hole are
classified using the effective potential of a free test particle. This
qualitative approach enables us to determine the type of the orbit described by
the test particle without solving the equations of motion, if the parameters of
the black hole and the particle are known. The connections between these
parameters and the type of orbit described by the particle are obtained. To
visualize the orbits we solve numerically the equation of motions for different
values of the parameters envolved in our analysis. The effective potential of a
free test particle looks different for a non-extremal and an extremal black
hole, therefore we have examined separately these two types of black holes.Comment: 10 pages, 16 figure
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