Resonance expansions for tensor-valued waves on asymptotically Kerr-de Sitter spaces
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Publication:2361002
DOI10.4171/JST/171zbMath1369.35093arXiv1502.03183OpenAlexW1910949397MaRDI QIDQ2361002
Publication date: 29 June 2017
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.03183
analytic continuationhigh energy estimatesnon-scalar wavesnormally hyperbolic trappingpseudodifferential inner products
Black holes (83C57) Scattering theory for PDEs (35P25) Wave equation (35L05) Pseudodifferential and Fourier integral operators on manifolds (58J40) PDEs in connection with relativity and gravitational theory (35Q75)
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Resonance expansions of massless Dirac fields propagating in the exterior of a de Sitter-Reissner-Nordström black hole ⋮ Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes ⋮ Linear stability of slowly rotating Kerr black holes ⋮ Normally hyperbolic trapping on asymptotically stationary spacetimes ⋮ An index theorem on asymptotically static spacetimes with compact Cauchy surface ⋮ Recent progress in general relativity ⋮ Uniqueness of Kerr-Newman-de Sitter black holes with small angular momenta ⋮ Mathematical study of scattering resonances ⋮ Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\) ⋮ A sharp version of Price's law for wave decay on asymptotically flat spacetimes
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