On the Initial Data Constraints on the Light cone for the Einstein-Vlasov system
Analysis of PDEs
2017-11-15 v2
Abstract
This article is concerned with the derivation of the Gauss-Codazzi's constraints equations on the initial light cone for geometric transport equations in general relativity. Temporal-gauge-dependent constraints are addressed too and gauge-preservation is established. The global resolution of the constraints is studied, a large class of initial data sets is deduced from appropriate free data and their behavior at the vertex of the cone is examined.
Cite
@article{arxiv.1711.02436,
title = {On the Initial Data Constraints on the Light cone for the Einstein-Vlasov system},
author = {Patenou Jean Baptiste},
journal= {arXiv preprint arXiv:1711.02436},
year = {2017}
}
Comments
29 pages