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arXiv · 1901.10378

Attractors of the Einstein-Klein Gordon system

David Fajman·Zoe Wyatt
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Abstract

It is shown that negative Einstein metrics are attractors of the Einstein-Klein-Gordon system. As an essential part of the proof we upgrade a technique that uses the continuity equation complementary to $L^2$-estimates to control massive matter fields. In contrast to earlier applications of this idea we require a correction to the energy density to obtain sufficiently good pointwise bounds.

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David Fajman, Zoe Wyatt. 2019-01-29. Attractors of the Einstein-Klein Gordon system. https://doi.org/10.1080/03605302.2020.1817072

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