62 citations · 287 across the 18 of their papers we have counts for
11 papers · 1 filter
Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends II. Generic metrics
Piotr T. Chrusciel, Frank Pacard, Daniel Pollack
We present a gluing construction which adds, via a localized deformation, exactly Delaunay ends to generic metrics with constant positive scalar curvature. This provides time-symme…
Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends
Piotr T. Chrusciel, Daniel Pollack
We construct large families of initial data sets for the vacuum Einstein equations with positive cosmological constant which contain exactly Delaunay ends; these are non-trivial in…
Gluing Initial Data Sets for General Relativity
Piotr T. Chrusciel, James Isenberg, Daniel Pollack
We establish an optimal gluing construction for general relativistic initial data sets. The construction is optimal in two distinct ways. First, it applies to generic initial data…
On analyticity of static vacuum metrics at non-degenerate horizons
Piotr T. Chrusciel
We show that static metrics solving vacuum Einstein equations (possibly with a cosmological constant) are one-sided analytic at non-degenerate Killing horizons. We further prove an…
Non-trivial, static, geodesically complete space-times with a negative cosmological constant II.
M. Anderson, P. T. Chrusciel, E. Delay
We show that the recent work of Lee [23] implies existence of a large class of new singularity-free strictly static Lorentzian vacuum solutions of the Einstein equations with a neg…
The Penrose Inequality
Hubert L. Bray, Piotr T. Chrusciel
In 1973, R. Penrose presented an argument that the total mass of a space-time which contains black holes with event horizons of total area should be at least . An…