6 citations · 14 across the 4 of their papers we have counts for
8 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…
Future complete Einsteinian space times with U(1) symmetry, the unpolarized case
Yvonne Choquet-Bruhat
I prove the existence of vacuum symmetric Einsteinian, unpolarized, space times which are complete in the direction of the expansion, for small initial data, without suppos…
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…
Bianchi - Euler system for relativistice fluids and Bel - Robinson type energy
Yvonne Choquet-Bruhat, James W. York
We write a first order symmetric hyperbolic system coupling the Riemann with the dynamical acceleration of a relativistic fluid. W determine the associated, coupled, Bel - Robinson…
On H. Friedrich's formulation of Einstein'equations with fluid sources
Yvonne Choquet-Bruhat, James W. York
We establish a variant, which has the advantage of introducing only physical characteristics, of the symmetric quasi linear first order system given by H.\ Friedrich for the evolut…
Constraints and evolution in cosmology
Yvonne Choquet-Bruhat, James W. York
We review some old and new results about strict and non strict hyperbolic formulations of the Einstein equations.