60 citations · 294 across the 13 of their papers we have counts for
12 papers
Characteristic Gluing with : III. High-differentiability nonlinear gluing
Piotr T. Chruściel, Wan Cong, Finnian Gray
We prove a nonlinear characteristic -gluing theorem for vacuum gravitational fields in Bondi gauge for a class of characteristic hypersurfaces near static vacuum -dimension…
Uniqueness of static black-holes without analyticity
Piotr T. Chruściel, Gregory J. Galloway
We show that the hypothesis of analyticity in the uniqueness theory of vacuum, or electrovacuum, static black holes is not needed. More generally, we show that prehorizons covering…
Mass and angular-momentum inequalities for axi-symmetric initial data sets I. Positivity of mass
Piotr T. Chrusciel
We extend the validity of Brill's axisymmetric positive energy theorem to all asymptotically flat initial data sets with positive scalar curvature on simply connected manifolds.
Boundary value problems for Dirac--type equations, with applications
P. T. Chrusciel, R. Bartnik
We prove regularity for a class of boundary value problems for first order elliptic systems, with boundary conditions determined by spectral decompositions, under coefficient diffe…
The Trautman-Bondi mass of initial data sets
P. T. Chrusciel, J. Jezierski, S. Leski
We give a definition of mass for conformally compactifiable initial data sets. The asymptotic conditions are compatible with existence of gravitational radiation, and the compactif…
Non-trivial, static, geodesically complete, vacuum space-times with a negative cosmological constant
M. Anderson, P. T. Chrusciel, E. Delay
We construct a large class of new singularity-free static Lorentzian four-dimensional solutions of the vacuum Einstein equations with a negative cosmological constant. The new fami…