36 citations · 41 across the 3 of their papers we have counts for
3 papers
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…
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…
Gluing Initial Data Sets for General Relativity
Piotr T. Chrusciel, James Isenberg, Daniel Pollack
We establish an optimal gluing construction for general relativistic initial data sets. The construction is optimal in two distinct ways. First, it applies to generic initial data…