  We investigate the four dimensional gravitational theories which admit
homogeneous but anisotropic black brane solutions in asymptotically AdS
space-time. The gravitational theories we consider are 1)
Einstein-Maxwell-dilaton theory, and 2) Einstein-Maxwell-dilaton-axion theory
with SL(2,R) symmetry. We obtain the solutions both analytically and
numerically. Analytical solutions are obtained by perturbation from the
isotropic solutions. Our solutions approach singular behavior at the horizon in
the extremal limit but in non-extremal case, they are smooth everywhere. We
also discuss how the third law of thermodynamics holds in our set-up.
