Lifshitz spacetimes, solitons, and generalized BTZ black holes in
  quantum gravity at a Lifshitz point
  In this paper, we study static vacuum solutions of quantum gravity at a fixed
Lifshitz point in (2+1) dimensions, and present all the diagonal solutions in
closed forms in the infrared limit. The exact solutions represent spacetimes
with very rich structures: they can represent generalized BTZ black holes,
Lifshitz space-times or Lifshitz solitons, in which the spacetimes are free of
any kind of space-time singularities, depending on the choices of the free
parameters of the solutions. We also find several classes of exact static
non-diagonal solutions, which represent similar space-time structures as those
given in the diagonal case. The relevance of these solutions to the
non-relativistic Lifshitz-type gauge/gravity duality is discussed.
