We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: Ricci flow, braneworld black holes and N=4 super Yang Mills on Schwarzschild

Presented by Pau Figueras, Cambridge

18 March 2011 13:00 in CM221

In this talk I first review a new method, borrowed from the Ricci Flow literature, to solve (numerically) the Einstein equations for static spacetimes. The method is based on a generalisation of the usual harmonic-coordinate gauge fixing and, as I will show, it is governed by a maximum principle which allows one to rule out the existence of Ricci solitons in favourable circumstances. As a first application of the method I will show how to construct (using Ricci Flow) the gravitational dual of N=4 super Yang-Mills on the background of the 4d Schwarzschild black hole. This provides the first quantitative calculation of a stress tensor of a strongly coupled 4d field theory in the background of a black hole. As a second application, I will construct localised black holes on a 3-brane in the context of Randall-Sundrum infinite braneworld scenario. Our work should answer the question of existence of static black holes on the brane.

Contact or for more information