Wormhole solutions to Horava gravity

TL;DR

This paper constructs wormhole solutions within Horava gravity, demonstrating their existence under various parameter conditions and boundary geometries, including asymptotically de Sitter, anti-de Sitter, and Minkowski spaces.

Contribution

It provides explicit wormhole solutions in Horava gravity for different parameter regimes and boundary conditions, expanding the understanding of possible spacetime geometries in this theory.

Findings

Transversable wormholes exist for λ=1 connecting asymptotic de Sitter or anti-de Sitter regions.

Wormholes with arbitrary λ have more complex asymptotic metrics with constant curvature.

Soft violation of the detailed balance condition allows for asymptotically Minkowski, de Sitter, or anti-de Sitter wormholes.

Abstract

We present wormhole solutions to Horava non-relativistic gravity theory in vacuum. We show that, if the parameter $\lambda$ is set to one, transversable wormholes connecting two asymptotically de Sitter or anti-de Sitter regions exist. In the case of arbitrary $\lambda$, the asymptotic regions have a more complicated metric with constant curvature. We also show that, when the detailed balance condition is violated softly, tranversable and asymptotically Minkowski, de Sitter or anti-de Sitter wormholes exist.