Asymptotically Lifshitz spacetimes with universal horizons in $(1 + 2)$ dimensions

Understand

Horava gravity theory possesses global Lifshitz space as a solution and has been conjectured to provide a natural framework for Lifshitz holography.

• We derive the conditions on the two derivative Horava gravity Lagrangian that are necessary for static, asymptotically Lifshitz spacetimes with flat transverse dimensions to contain a universal horizon, which plays a similar thermodynamic role as the Killing horizon in general relativity.
• Specializing to z=2 in 1+2 dimensions, we then numerically construct such regular solutions over the whole spacetime.
• We calculate the mass for these solutions and show that, unlike the asymptotically anti-de Sitter case, the first law applied to the universal horizon is straightforwardly compatible with a thermodynamic interpretation.