An analytic Lifshitz black hole
Abstract
A Lifshitz point is described by a quantum field theory with anisotropic scale invariance (but not Galilean invariance). In , gravity duals were conjectured for such theories. We construct analytically a black hole that asymptotes to a vacuum Lifshitz solution; this black hole solves the equations of motion of some simple (but somewhat strange) extensions of the models of . We study its thermodynamics and scalar response functions. The scalar wave equation turns out to be exactly solvable. Interestingly, the Green’s functions do not exhibit the ultralocal behavior seen previously in the free Lifshitz scalar theory.
 Publication:

Physical Review D
 Pub Date:
 November 2009
 DOI:
 10.1103/PhysRevD.80.104039
 arXiv:
 arXiv:0909.0263
 Bibcode:
 2009PhRvD..80j4039B
 Keywords:

 04.70.Dy;
 11.25.Tq;
 Quantum aspects of black holes evaporation thermodynamics;
 Gauge/string duality;
 High Energy Physics  Theory
 EPrint:
 18 pages