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Ricci flow and its applications to Numerical General Relativity

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If you have a question about this talk, please contact Pau Figueras.

In this talk I will present an overview of a new method, borrowed from Ricci flow, to numerically construct static and stationary black hole spacetimes with or without a cosmological constant. This method is based on the harmonic formulation of the Einstein equations and it is the state of the art in static/stationary Numerical Relativity. I will illustrate how it works with two (interrelated) examples: the numerical construction of the gravitational dual of N=4 super Yang-Mills on the background of the Schwarzschild black hole and the construction of braneworld black holes. Finally I will summarise and I will outline some future directions for research.

This talk is part of the Theoretical Physics Colloquium series.

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