Filtered expansions in general relativity I
Mathematical Physics
2019-05-23 v1 math.MP
Abstract
This is the first 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. We use a graded Lie algebra, homological framework. A dedicated filtration encodes key features of the BKL proposal, and we use it to set up an unobstructed perturbative problem.
Keywords
Cite
@article{arxiv.1905.09026,
title = {Filtered expansions in general relativity I},
author = {Michael Reiterer and Eugene Trubowitz},
journal= {arXiv preprint arXiv:1905.09026},
year = {2019}
}
Comments
22 pages