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arXiv · 2005.03390

Filtered expansions in general relativity II

Michael Reiterer·Eugene Trubowitz
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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.

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Michael Reiterer, Eugene Trubowitz. 2020-05-07. Filtered expansions in general relativity II. https://arxiv.org/abs/2005.03390

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