An analytic Lifshitz black hole

A Lifshitz point is described by a quantum field theory with anisotropic scale invariance (but not Galilean invariance). In 8, 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...

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Bibliographic Details
Main Authors: Balasubramanian, Koushik, McGreevy, John
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:en_US
Published: American Physical Society 2010
Online Access:http://hdl.handle.net/1721.1/52510
Description
Summary:A Lifshitz point is described by a quantum field theory with anisotropic scale invariance (but not Galilean invariance). In 8, 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 8. 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.