72 citations · 216 across the 5 of their papers we have counts for
5 papers
The "neighborhood theorem" for the general relativistic characteristic Cauchy problem in higher dimension
Piotr T. Chrusciel, Roger Tagne Wafo, Finnian Gray
We show that the maximal globally hyperbolic solution of the initial-value problem for the higher-dimensional vacuum Einstein equations on two transversally intersecting characteri…
On the canonical energy of weak gravitational fields with a cosmological constant
P. T. Chruściel, Sk J. Hoque, M. Maliborski +1
We analyse the canonical energy of vacuum linearised gravitational fields on light cones on a de Sitter, Minkowski, and Anti de Sitter backgrounds in Bondi gauge. We derive the ass…
Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular-momentum
Piotr T. Chruściel, Yanyan Li, Gilbert Weinstein
We extend the validity of Dain's angular-momentum inequality to maximal, asymptotically flat, initial data sets on a simply connected manifold with several asymptotically flat ends…
Killing vectors in asymptotically flat space-times: I. Asymptotically translational Killing vectors and the rigid positive energy theorem
R. Beig, Piotr T. Chrusciel
We study Killing vector fields in asymptotically flat space-times. We prove the following result, implicitly assumed in the uniqueness theory of stationary black holes. If the cond…
Maximal Hypersurfaces in Asymptotically Stationary Space-Times
P. T. Chrusciel, R. Wald
Existence of maximal hypersurfaces and of foliations by maximal hypersurfaces is proven in two classes of asymptotically flat spacetimes which possess a one parameter group of isom…