Uniform energy bound and Morawetz estimate for extreme components of spin fields in the exterior of a slowly rotating Kerr black hole. I: Maxwell field

DOI10.1007/s00023-020-00884-7zbMath1437.83065arXiv1705.06621OpenAlexW3098258985WikidataQ126329497 ScholiaQ126329497MaRDI QIDQ2295682

Siyuan Ma

Publication date: 14 February 2020

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06621

zbMATH Keywords

Teukolsky master equationMaxwell fieldenergy boundMorawetz estimateslowly rotating Kerr black holeNewman-Penrose (N-P) scalar

Mathematics Subject Classification ID

Black holes (83C57) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Wave equation (35L05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) PDEs in connection with relativity and gravitational theory (35Q75) Electromagnetic theory (general) (78A25) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (13)

Linear stability of higher dimensional Schwarzschild spacetimes: decay of master quantities ⋮ Precise late-time asymptotics of scalar field in the interior of a subextreme Kerr black hole and its application in Strong Cosmic Censorship conjecture ⋮ Explicit bounds for the high-frequency time-harmonic Maxwell equations in heterogeneous media ⋮ Peeling for tensorial wave equations on Schwarzschild spacetime ⋮ Price's law for spin fields on a Schwarzschild background ⋮ Sharp decay for Teukolsky equation in Kerr spacetimes ⋮ Conformal scattering theories for tensorial wave equations on Schwarzschild spacetime ⋮ On the radiation gauge for spin-1 perturbations in Kerr–Newman spacetime ⋮ Quasinormal modes in extremal Reissner-Nordström spacetimes ⋮ Sharp decay estimates for massless Dirac fields on a Schwarzschild background ⋮ Uniform energy bound and Morawetz estimate for extreme components of spin fields in the exterior of a slowly rotating Kerr black hole. II: linearized gravity ⋮ Almost Price's law in Schwarzschild and decay estimates in Kerr for Maxwell field ⋮ Nonlinear radiation gauge for near Kerr spacetimes

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