Boundary conditions for spacelike and timelike warped AdS3 spaces in topologically massive gravity

We propose a set of consistent boundary conditions containing the spacelike warped black holes solutions of Topologically Massive Gravity. We prove that the corresponding asymptotic charges whose algebra consists in a Virasoro algebra and a current algebra are finite, integrable and conserved. A similar analysis is performed for the time-like warped AdS(3) spaces which contain a family of regular solitons. The energy of the boundary Virasoro excitations is positive while the current algebra leads to negative ( for the spacelike warped case) and positive ( for the timelike warped case) energy boundary excitations. We discuss the relationship with the Brown-Henneaux boundary conditions.