Abstract
We study the orbits of both massive test particles and light rays in the background of $$(1+2)$$ -dimensional space–time. In particular, we have obtained exact analytical solutions to the geodesic equations in terms of the Weierstras function for the Einstein–Maxwell–Dilaton space–time. The trajectories in the $$(x-y)$$ plane are shown as well, and the comparison with the neutral BTZ space–time is made.
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