36 citations · 62 across the 6 of their papers we have counts for
6 papers
Polyhomogeneous solutions of nonlinear wave equations without corner conditions
Piotr T. Chrusciel, Szymon Leski
The study of Einstein equations leads naturally to Cauchy problems with initial data on hypersurfaces which closely resemble hyperboloids in Minkowski space-time, and with initial…
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…
Boundary regularity of conformally compact Einstein metrics
Piotr T. Chrusciel, Erwann Delay, John M. Lee +1
We show that C^2 conformally compact Riemannian Einstein metrics have conformal compactifications that are smooth up to the boundary in dimension 3 and all even dimensions, and pol…
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…