6 citations · 7 across the 2 of their papers we have counts for
5 papers
Future complete vacuum spacetimes
Lars Andersson, Vincent Moncrief
In this paper we prove a global existence theorem, in the direction of cosmological expansion, for sufficiently small perturbations of a family of spatially compact variants of the…
Non linear stability of einsteinian spacetimes with U(1) isometry group
Yvonne Choquet-Bruhat, Vincent Moncrief
We prove global completeness in the expanding direction of spacetimes satisfying the vacuum Einstein equations on a manifold of the form where is a comp…
Elliptic-hyperbolic systems and the Einstein equations
Lars Andersson, Vincent Moncrief
The Einstein evolution equations are studied in a gauge given by a combination of the constant mean curvature and spatial harmonic coordinate conditions. This leads to a coupled qu…
Numerical Study of Cosmological Singularities
B. K. Berger, D. Garfinkle, V. Moncrief
The spatially homogeneous, isotropic Standard Cosmological Model appears to describe our Universe reasonably well. However, Einstein's equations allow a much larger class of cosmol…
Comment on ``The Gowdy Cosmologies Revisited''
Beverly K. Berger, David Garfinkle, Vincent Moncrief
A standard and reasonable definition of asymptotic velocity term dominance (AVTD) shows that the numerical study by Hern and Stewart (gr-qc/9708038) confirms previous results that…