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Mathematics, Analysis of PDEs, math.AP,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,
Abstract:
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.