Speaker
Erwann Delay
(Avignon)
Description
We will see that the Corvino gluing technique can be adapted to the
asymptotically hyperbolic
context. More precisely, if a Riemannian metric with constant negative scalar
curvature is asymptotic to
a hyperbolic model at infinity, it can be glued on an "annulus" with a
Schwarzschild-AdS slice to a new constant
scalar curvature metric. This produce initial data for the vacuum Einstein
equation that are exactly Schwarzschild-AdS slice
outside of a compact set. This is joint work with Piotr Chrusciel.
