Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-03-15
Physics
High Energy Physics
High Energy Physics - Theory
add new references, correct some typos, revise one errors in the numerical calculation of conductivities
Scientific paper
We provide an exact hairy black hole solution to an $n+1$ dimensional complex scalar field model coupled with gravity. The model is characterized by a potential with one parameter. Depending on the magnitude of this parameter, the effective mass square of the scalar field can be both positive and negative. No matter what case it is, there are temperature ranges in which the hairy black hole is thermodynamically stable against decaying into its no-hair counterpart. We use this solution as an AdS/CFT superconductor model and study its conductivity-frequency relation and find typical features observed in other AdS/CFT superconductor models.
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