Matched Asymptotic Expansion for Caged Black Holes

Computer Science

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Scientific paper

We present an analytic perturbation theory for a small (static) black hole in a spacetime with a compact dimension. We set up a general procedure for an arbitrary order in the perturbation series (including regularization of divergences) based on an asymptotic matched expansion between two coordinate patches: the near horizon zone and the asymptotic zone. Using this method we obtain corrections to the thermodynamic quantities of the black hole as well as its deformation due to the presence of the compact dimension.

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