Speaker
Andrea Nützi, Stanford University
Abstract
Using Friedrich’s work on the conformal vacuum field equations, one can construct a class of spacetimes with the following properties: They are globally close to Minkowski, identical to a Kerr black hole spacetime near spacelike infinity, and admit a smooth conformal compactification at null infinity. In this talk we construct (assuming appropriate solutions of the constraints) a more general class of spacetimes, that only asymptote to Kerr at spacelike infinity, but still admit a smooth conformal compactification at null infinity. This is based on a new formulation of the dynamic problem as a hyperbolic PDE that is regular at null infinity, and with null infinity being at a fixed locus. It is not regular at spacelike infinity due to the asymptotics of the Kerr spacetime, which requires tailored energy estimates.