We establish the full global non-linear stability of the Kerr–de Sitter family of black holes, as
solutions of the initial value problem for the Einstein vacuum equations with positive …

These lecture notes, based on a course given at the Zürich Clay Summer School (June 23–
July 18 2008), review our current mathematical understanding of the global behaviour of …

A review is given of the various approaches to and expressions for total energy–momentum
and mass in the presence of a positive cosmological constant in Einstein's field equations …

AMS :: Bulletin of the American Mathematical Society Skip to Main Content American
Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …

In this paper we develop a new approach to the gluing problem in General Relativity, that is,
the problem of matching two solutions of the Einstein equations along a spacelike or …

The stationary points of the total scalar curvature functional on the space of unit volume
metrics on a given closed manifold are known to be precisely the Einstein metrics. One may …

In this paper we introduce the characteristic gluing problem for the Einstein vacuum
equations. We present a codimension-$10 $ gluing construction for characteristic initial data …

We prove a strong localized gluing result for the general relativistic constraint equations
(with or without cosmological constant) in n≥ 3 spatial dimensions. We glue an ϵ-rescaling …

This is the second paper in a series of papers addressing the characteristic gluing problem
for the Einstein vacuum equations. We solve the codimension-10 characteristic gluing …

This is the third paper in a series of papers adressing the characteristic gluing problem for
the Einstein vacuum equations. We provide full details of our characteristic gluing (including …