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

Academic Article


  • 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.
  • Authors

  • Basu, Sayandeb
  • Bhattacharyya, Jishnu
  • Mattingly, David
  • Roberson, Matthew
  • Publication Date

  • January 13, 2016
  • Published In

  • Physical Review D  Journal
  • Keywords

  • gr-qc
  • hep-th
  • Digital Object Identifier (doi)

    Start Page

  • 064072
  • Volume

  • 93
  • Issue

  • 6