Wormhole solutions to Hořava gravity

Abstract

We present wormhole solutions to Ho\ifmmode \check{r}\else \v{r}\fi{}ava nonrelativistic gravity theory in vacuum. We show that, if the parameter $\ensuremath{\lambda}$ is set to one, traversable wormholes connecting two asymptotically de Sitter or anti-de Sitter regions exist. In the case of arbitrary $\ensuremath{\lambda}$, the asymptotic regions have a more complicated metric with constant curvature. We also show that, when the detailed balance condition is violated softly, traversable and asymptotically Minkowski, de Sitter or anti-de Sitter wormholes exist.