Filtered expansions in general relativity II
Mathematical Physics
2020-05-08 v1 math.MP
Abstract
This is the second of two papers in which we construct formal power series solutions in external parameters to the vacuum Einstein equations, implementing one bounce for the Belinskii-Khalatnikov-Lifshitz (BKL) proposal for spatially inhomogeneous spacetimes. Here we show that spatially inhomogeneous perturbations of spatially homogeneous elements are unobstructed. A spectral sequence for a filtered complex, and a homological contraction based on gauge-fixing, are used to do this.
Keywords
Cite
@article{arxiv.2005.03390,
title = {Filtered expansions in general relativity II},
author = {Michael Reiterer and Eugene Trubowitz},
journal= {arXiv preprint arXiv:2005.03390},
year = {2020}
}
Comments
18 pages