School of Mathematical Sciences

The initial-boundary value problem in General Relativity and the anti-de Sitter spacetime menu

The initial-boundary value problem in General Relativity and the anti-de Sitter spacetime

Speaker: 
Diego Carranza Ortiz
Date/Time: 
Tue, 28/03/2017 - 18:00
Room: 
Bancroft 109

General Relativity constitutes the better theory we have so far to understand how gravity works at large
scales. Mathematically, it is formulated using the language of differential geometry and topology, but PDE theory and analysis come into play when the dynamics are studied. In this talk I will give a brief introduction to the initial value problem in relativity and how conformal methods provide with a nice approach to it. In particular, the anti-de Sitter spacetime will be taken as an example of what happens when initial data is not sufficient to establish a well-posed problem. Finally, some comments will be made about why theoretical physicists are so interested in understanding it, even though it does not represent a physical world.