Boundedness and decay for the wave equation on Kerr and other stationary axisymmetric
black hole exterior backgrounds
Mihalis Dafermos,
Department of Pure Mathematics and Mathematical Statistics, University of Cambridge
Miercoles 18 de marzo 2009
The study of linear waves on black hole exterior backgrounds
is a fundamental problem in general relativity, intimately related
to the stability of the background spacetimes themselves as solutions to the Einstein
equations. I will review recent progress in the understanding
of the boundedness and decay properties of the scalar wave equation on
a wide class of black hole backgrounds. The class considered will include
the celebrated Kerr family.