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Global solutions of the Einstein-Maxwell equations in higher dimensions
Yvonne Choquet-Bruhat, Piotr T. Chrusciel, Julien Loizelet
We consider the Einstein-Maxwell equations in space-dimension . We point out that the Lindblad-Rodnianski stability proof applies to those equations whatever the space-dimension…
Conformal boundary extensions of Lorentzian manifolds
Piotr T. Chruściel
We study the question of local and global uniqueness of completions, based on null geodesics, of Lorentzian manifolds. We show local uniqueness of such boundary extensions. We give…
Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times
Piotr T. Chrusciel, Daniel Maerten, Paul Tod
We prove upper bounds on angular momentum and centre of mass in terms of the Hamiltonian mass and cosmological constant for non-singular asymptotically anti-de Sitter initial data…
The Ernst equation and ergosurfaces
Piotr T. Chrusciel, Gert-Martin Greuel, Reinhard Meinel +1
We show that analytic solutions $\mcE$ of the Ernst equation with non-empty zero-level-set of $\Re \mcE$ lead to smooth ergosurfaces in space-time. In fact, the space-time metric i…