Local energy estimate on Kerr black hole backgrounds

2008/10/31 by Daniel Tataru, Tataru, Daniel, Mihai Tohaneanu +1 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.0810.5766

Abstract

We study dispersive properties for the wave equation in the Kerr space-time with small angular momentum. The main result of thispaper is to establish uniform energy bounds and local energy decay for such backgrounds.

Cited by

• Strichartz estimates on Kerr black hole backgrounds
• Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter\n spaces
• A note on the wave equation on black hole spacetimes with small\n non-decaying first order terms
• Decay properties of Klein-Gordon fields on Kerr-AdS spacetimes
• Local decay of waves on asymptotically flat stationary space-times

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• Strichartz estimates on Kerr black hole backgrounds
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