123 citations · 666 across the 31 of their papers we have counts for
32 papers
Beginnings of the Cauchy problem
Yvonne Choquet-Bruhat
Brief account of results on the Cauchy problem for the Einstein equations starting with early the works of Darmois and Lichnerowicz and going up to the proofs of the existence and…
Cauchy problem with data on a characteristic cone for the Einstein-Vlasov equations
Yvonne Choquet-Bruhat, Piotr T. Chruściel
We show how to solve the Cauchy problem for the Einstein-Vlasov equations with geometric initial data on a light-cone.
Positive Gravitattional Energy in Arbitrary Dimensions
Yvonne Choquet-Bruhat
We present a streamlined, complete proof, valid in arbitrary space dimension , and using only spinors on the oriented Riemannian space of the positive energy theore…
An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data
Yvonne Choquet-Bruhat, Piotr T. Chruściel, José M. Martín-García
We prove that analytic initial data on a light cone arising from a metric satisfying a "near-roundness" condition near the vertex lead to a solution of the vacuum Einstein equation…
Energy estimate for initial data on a characteristic cone
Yvonne Choquet-Bruhat, José M. Martín-García
The Einstein equations in wave map gauge are a geometric second order system for a Lorentzian metric. To study existence of solutions of this hyperbolic quasi diagonal system with…
An existence theorem for the Cauchy problem on a characteristic cone for the Einstein equations
Yvonne Choquet-Bruhat, Piotr T. Chruściel, José M. Martín-García
We prove an existence theorem for the Cauchy problem on a characteristic cone for the vacuum Einstein equations.