Seminar series
Date
Tue, 14 Jan 2014
Time
09:00 -
09:50
Location
L4
Speaker
Lars Andersson
Organisation
Max Planck Institute for Gravitational Physics
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.