An analytic Lifshitz black hole

Details An analytic Lifshitz black hole An analytic Lifshitz black hole

2009-09-02

arxiv.org/abs/0909.0263v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

A Lifshitz point is described by a quantum field theory with anisotropic scale invariance (but not Galilean invariance). In arXiv:0808.1725, gravity duals were conjectured for such theories. We construct analytically a black hole which 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 arXiv:0808.1725. 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.

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