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On Israel-Wilson-Perjes black holes
P. T. Chrusciel, H. S. Reall, P. Tod
We show, under certain conditions, that regular Israel-Wilson-Perjés black holes necessarily belong to the Majumdar-Papapetrou family.
Killing vectors in asymptotically flat space--times: II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions
Piotr T. Chrusciel, Daniel Maerten
We show that the borderline cases in the proof of the positive energy theorem for initial data sets, on spin manifolds, in dimensions , are only possible for initial data a…
On non-existence of static vacuum black holes with degenerate components of the event horizon
Piotr T. Chrusciel, Harvey S. Reall, Paul Tod
We present a simple proof of the non-existence of degenerate components of the event horizon in static, vacuum, regular, four-dimensional black hole spacetimes. We discuss the gene…
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…