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arXiv:1612.09304 [math.AP]AbstractReferencesReviewsResources

Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime

Lars Anderson, Pieter Blue, Jérémie Joudioux

Published 2016-12-29Version 1

This paper proves the existence of a bounded energy and integrated energy decay for solutions of the massless Vlasov equation in the exterior of a very slowly rotating Kerr spacetime. This combines methods previously developed to prove similar results for the wave equation on the exterior of a very slowly rotating Kerr spacetime with recent work applying the vector-field method to the relativistic Vlasov equation.

Comments: 18 pages
Categories: math.AP, gr-qc, math-ph, math.MP
Subjects: 35Q75
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