62 citations · 184 across the 10 of their papers we have counts for
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Applications of theorems of Jean Leray to the Einstein-scalar field equations
Yvonne Choquet-Bruhat, James Isenberg, Daniel Pollack
The Einstein-scalar field theory can be used to model gravitational physics with scalar field matter sources. We discuss the initial value formulation of this field theory, and sho…
The constraint equations for the Einstein-scalar field system on compact manifolds
Yvonne Choquet-Bruhat, James Isenberg, Daniel Pollack
We study the constraint equations for the Einstein-scalar field system on compact manifolds. Using the conformal method we reformulate these equations as a determined system of non…
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…
Motion of Isolated bodies
Yvonne Choquet-Bruhat, Helmut Friedrich
It is shown that sufficiently smooth initial data for the Einstein-dust or the Einstein-Maxwell-dust equations with non-negative density of compact support develop into solutions r…