Gravitational waves, periodic motion, and stars: topics in general relativity and continuum mechanics
Evan Williams theatre
T: 03 8344 7887
Some of my research in the analysis of geometric partial differential equations is motivated by the phenomena involved in the generation, and propagation of gravitational waves. In the first part of this talk, I will focus on the non-linear theory of gravitational waves in an expanding universe. In particular, I will survey my work on the stability of so-called Kerr de Sitter space-times in the context of the evolution problem for Einstein's equation with positive cosmological constant. Then I will discuss a result for isolated self-gravitating systems, which rules out the existence of genuinely time-periodic motion in general relativity. Finally, I will describe my recent interest in the sources of gravitational radiation, in particular the dynamics of neutron stars in relativistic fluid mechanics, and a related model problem for an elastic continuum.
Dr Volker Schlue, Universite Pierre et Marie Curie (Paris 6)