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Attractors of the Einstein-Klein Gordon system (1901.10378v1)

Published 29 Jan 2019 in gr-qc, math-ph, math.AP, and math.MP

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 $L2$-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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