  In the present paper we study the causal structure of a topological black
hole presented by Mann R. B. JHEP 06, 075 (2009) by mean the standard
Lagrangian procedure, which allow us analyze qualitatively the behavior of test
particles using the effective potential. Then, the geodesic motion of massive
and massless particles is obtained analytically. We find that confined orbits
are forbidden on this spacetime, however radial photons can escape to infinity
in an infinite proper time but in a finite coordinate time, this correspond to
an interesting and novel result.
