14 January 2014
In this talk I will discuss the Cauchy problem for bounded self-gravitating elastic bodies in Einstein gravity. One of the main difficulties is caused by the fact that the spacetime curvature must be discontinuous at the boundary of the body. In order to treat the Cauchy problem, one must show that the jump in the curvature propagates along the timelike boundary of the spacetime track of the body. I will discuss a proof of local well-posedness which takes this behavior into account.
- Partial Differential Equations Seminar