We study black holes in the infrared sector of three-dimensional Ho\v{r}ava
gravity. It is shown that black hole solutions with anti-de Sitter asymptotics
are admissible only in the sector of the theory in which the scalar degree of
freedom propagates infinitely fast. We derive the most general class of
stationary, circularly symmetric, asymptotically anti-de Sitter black hole
solutions. We also show that the theory admits black hole solutions with de
Sitter and flat asymptotics, unlike three-dimensional general relativity. For
all these cases, universal horizons may or may not exist depending on the
choice of parameters. Solutions with de Sitter asymptotics can have universal
horizons that lie beyond the de Sitter horizon.Comment: 16 pages, 9 figures, final published versio
