Global characteristic problem for Einstein vacuum equations with small initial data: (I) The initial data constraints
General Relativity and Quantum Cosmology
2007-05-23 v2
Abstract
We show how to prescribe the initial data of a characteristic problem satisfying the costraints, the smallness, the regularity and the asymptotic decay suitable to prove a global existence result. In this paper, the first of two, we show in detail the construction of the initial data and give a sketch of the existence result. This proof, which mimicks the analogous one for the non characteristic problem in [Kl-Ni], will be the content of a subsequent paper.
Keywords
Cite
@article{arxiv.gr-qc/0409028,
title = {Global characteristic problem for Einstein vacuum equations with small initial data: (I) The initial data constraints},
author = {Giulio Caciotta and Francesco Nicolò},
journal= {arXiv preprint arXiv:gr-qc/0409028},
year = {2007}
}
Comments
77 pages, no figures; corrected misprints and minor errors, to appear on Journal of Hyperbolic Differential Equations (JHDE)