2 papers
gr-qc2024
A Phase Space Approach to the Conformal Construction of Non-Vacuum Initial Data Sets in General Relativity
James Isenberg, David Maxwell
We present a uniform (and unambiguous) procedure for scaling the matter fields in implementing the conformal method to parameterize and construct solutions of Einstein constraint e…
math.DG2024
Convergence stability for Ricci flow on manifolds with bounded geometry
Eric Bahuaud, Christine Guenther, James Isenberg +1
We prove that the Ricci flow for complete metrics with bounded geometry depends continuously on initial conditions for finite time with no loss of regularity. This relies on our re…