An Isaac Newton Institute Programme

Global Problems in Mathematical Relativity

Second variation in general relativity

17th October 2005

Author: Bartnik, R (Monash University)

Abstract

The formula for the second variation of area of a hypersurface is well known in geometry, where it is used to study stability questions involving minimal surfaces. It is not so well known is that it plays a key role in several seemingly unrelated classical computations in general relativity. I'll describe some of these applications.