BHT2 - Self-Graviting Systems (black Rings and Black Strings) |
Speaker_ |
Gorbonos, Dan |
Co-autors |
Barak Kol |
Talk _ |
Matched Asymptotic Expansion for Caged Black Holes |
Abstract _ |
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. We compare with the numerical phase diagram of the black-hole black-string system and with other analytic treatments. |