Attractors of the Einstein-Klein Gordon system

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.

References in corpus (4)

• The global non-linear stability of the Kerr-de Sitter family of black holes
• Global solutions of the Einstein-Maxwell equations in higher dimensions
• Stable cosmological Kaluza-Klein Spacetimes
• Future stability of the $1+3$ Milne model for Einstein-Klein-Gordon system

Cited by in corpus (7)

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• Einstein flow with matter sources: stability and convergence
• On the Global Well-Posedness of the Einstein-Yang-Mills System
• Cosmic Censorship near FLRW spacetimes with negative spatial curvature