  A Lifshitz point is described by a quantum field theory with anisotropic
scale invariance (but not Galilean invariance). In arXiv:0808.1725, gravity
duals were conjectured for such theories. We construct analytically a black
hole which asymptotes to a vacuum Lifshitz solution; this black hole solves the
equations of motion of some simple (but somewhat strange) extensions of the
models of arXiv:0808.1725. We study its thermodynamics and scalar response
functions. The scalar wave equation turns out to be exactly solvable.
Interestingly, the Green's functions do not exhibit the ultralocal behavior
seen previously in the free Lifshitz scalar theory.
