Asymptotically hyperbolic black holes in Horava gravity

Abstract

Solutions of Hořava gravity that are asymptotically Lifshitz are explored. General near boundary expansions allow the calculation of the mass of these spacetimes via a Hamiltonian method. Both analytic and numeric solutions are studied which exhibit a causal boundary called the universal horizon, and are therefore black holes of the theory. The thermodynamics of an asymptotically Anti-de Sitter Hořava black hole are verified.

Horava-Lifshitz black hole hydrodynamics

“…This agrees with the value found by the on-shell Hamiltonian analysis in [22]. The value of thermal entropy density can be derived for example from the thermodynamic identity ǫ + p = sT , giving…”

“…black hole solution to Horava-Lifshitz gravity is available [21,22]. We will show that this new transport coefficient is zero is this case, and we will calculate the shear viscosity ratio η/s.…”

“…In the case where z = 1 and c 4 = 0 (asymptotically AdS) an analytic solution was found in [22]. We will consider this case later in the paper.…”

“…In [22] asymptotically Lifshitz and AdS solutions were studied in detail. For additional studies of these solutions, see [24][25][26][27].…”

“…In this section we will analyze the hydrodynamics of the black brane solution found in [22] when z = 1, that is c 4 = 0. The case z = 1 is special since the Lifshitz scaling symmetry of the boundary field theory is the same as that of relativistic CFTs, and implies the tracefree condition on the stress-energy tensor…”