title: Exact solutions in 3D new massive gravity.
abstract: We show that the field equations of new massive gravity (NMG) consist of a massive (tensorial) Klein-Gordon-type equation with a curvature-squared source term and a constraint equation. We also show that, for algebraic type D and N spacetimes, the field equations of topologically massive gravity (TMG) can be thought of as the "square root" of the massive Klein-Gordon-type equation. Using this fact, we establish a simple framework for mapping all types D and N solutions of TMG into NMG. Finally, we present new examples of types D and N solutions to NMG.
authors.affiliation: Feza Gürsey Institute, Çengelköy, 34684 Istanbul, Turkey.
authors.forename: Haji
authors.initials: H
authors.lastname: Ahmedov
authors.forename: Alikram N
authors.initials: AN
authors.lastname: Aliev