5 citations · 6 across the 3 of their papers we have counts for
3 papers
gr-qc2017★ 5 cited
When Do Spacetimes Have Constant Mean Curvature Slices?
James Dilts, Michael Holst
Many results in mathematical relativity, including results for both the initial data problem and for the evolution problem, rely on the existence of a constant mean curvature (CMC)…
gr-qc2015
The Einstein Constraint Equations on Asymptotically Euclidean Manifolds
James Dilts
In this dissertation, we prove a number of results regarding the conformal method of finding solutions to the Einstein constraint equations. These results include necessary and suf…
math.DG2015★ 1 cited
Yamabe Classification and Prescribed Scalar Curvature in the Asymptotically Euclidean Setting
David Maxwell, James Dilts
We prove a necessary and sufficient condition for an asymptotically Euclidean manifold to be conformally related to one with specified nonpositive scalar curvature: the zero set of…