Rough solutions of Einstein vacuum equations in CMCSH gauge
Analysis of PDEs
2012-01-04 v1 General Relativity and Quantum Cosmology
Differential Geometry
Abstract
In this paper, we consider very rough solutions to Cauchy problem for the Einstein vacuum equations in CMC spacial harmonic gauge, and obtain the local well-posedness result in . The novelty of our approach lies in that, without resorting to the standard paradifferential regularization over the rough, Einstein metric , we manage to implement the commuting vector field approach to prove Strichartz estimate for geometric wave equation directly.
Keywords
Cite
@article{arxiv.1201.0049,
title = {Rough solutions of Einstein vacuum equations in CMCSH gauge},
author = {Qian Wang},
journal= {arXiv preprint arXiv:1201.0049},
year = {2012}
}