129 citations · 420 across the 10 of their papers we have counts for
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The Einstein-scalar field constraints on asymptotically Euclidean manifolds
Yvonne Choquet-Bruhat, James Isenberg, Daniel Pollack
We use the conformal method to obtain solutions of the Einstein-scalar field gravitational constraint equations. Handling scalar fields is a bit more challenging than handling matt…
Ricci flow on locally homogeneous closed 4-manifolds
James Isenberg, Martin Jackson, Peng Lu
We discuss the Ricci flow on homogeneous 4-manifolds. After classifying these manifolds, we note that there are families of initial metrics such that we can diagonalize them and th…
A gluing construction for non-vacuum solutions of the Einstein constraint equations
James Isenberg, David Maxwell, Daniel Pollack
We extend the conformal gluing construction of Isenberg-Mazzeo-Pollack [18] by establishing an analogous gluing result for field theories obtained by minimally coupling Einstein's…