24 citations · 111 across the 14 of their papers we have counts for
4 papers · 1 filter
Existence of Constant Mean Curvature Hypersurfaces in Asymptotically Flat Spacetimes
Lars Andersson, Mirta S. Iriondo
The problem of existence of spacelike hypersurfaces with constant mean curvature in asymptotically flat spacetimes is considered for a class of asymptotically Schwarzschild spaceti…
Einstein's equations in Ashtekar's variables constitute a symmetric hyperbolic system
Mirta S. Iriondo, Enzo O. Leguizamón, Oscar A. Reula
We show that the 3+1 vacuum Einstein field equations in Ashtekar's variables constitutes a first order symmetric hyperbolic system for arbitrary but fixed lapse and shift fields, b…
The Newtonian Limit on Asymptotically Null Foliations
Mirta S. Iriondo, Enzo O. Leguizamón, Oscar A. Reula
By suitably re-scaling the conformal Einstein's equations we are able to apply recent results in the theory of PDE, and prove that they possess slow solutions in a future neighborh…
Fast and Slow solutions in General Relativity: The Initialization Procedure
Mirta S. Iriondo, Enzo O. Leguizamón, Oscar A. Reula
We apply recent results in the theory of PDE, specifically in problems with two different time scales, on Einstein's equations near their Newtonian limit. The results imply a justi…