BOUNDARY REGULARITY, UNIQUENESS AND NON-UNIQUENESS FOR
AH EINSTEIN METRICS ON 4-MANIFOLDS
MICHAEL T. ANDERSON
Abstract.This paper studies several aspects of asymptotically hyperbolic *
*Einstein metrics, mostly
on 4-manifolds. We prove boundary regularity (at infinity) for such metri*
*cs and establish unique-
ness under natural conditions on the boundary data. By examination of exp*
*licit black hole metrics,