Asymptotically Lifshitz spacetimes with universal horizons in (1 +2 ) dimensions
Abstract
Hořava 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 Hořava 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.
- Publication:
-
Physical Review D
- Pub Date:
- March 2016
- DOI:
- 10.1103/PhysRevD.93.064072
- arXiv:
- arXiv:1601.03274
- Bibcode:
- 2016PhRvD..93f4072B
- Keywords:
-
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 12 pages, 4 figures