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gr-qc2006★ 1 cited
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…
gr-qc2006★ 46 cited
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…