  In this paper we explore different aspects of three dimensional Born-Infeld
as well as Born-Infeld-Chern-Simons gravity. We show that the models have AdS
and AdS-wave vacuum solutions. Moreover we observe that although
Born-Infeld-Chern-Simons gravity admits a logarithmic solution, Born-Infeld
gravity does not, though it has a limiting logarithmic solution as we approach
the critical point.
