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

DOI10.1007/s00220-020-03777-2zbMath1443.83036arXiv1708.07385OpenAlexW3100544179MaRDI QIDQ779656

Siyuan Ma

Publication date: 14 July 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07385

zbMATH Keywords

spinenergy boundMorawetz estimateslowly rotating Kerr black hole

Mathematics Subject Classification ID

Black holes (83C57) 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) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Einstein equations (35Q76)

Related Items (15)

Stable black holes: in vacuum and beyond ⋮ A scattering theory for linearised gravity on the exterior of the Schwarzschild black hole. I: The Teukolsky equations ⋮ A large data theory for nonlinear wave on the Schwarzschild background ⋮ Electromagnetic-gravitational perturbations of Kerr–Newman spacetime: The Teukolsky and Regge–Wheeler equations ⋮ Precise late-time asymptotics of scalar field in the interior of a subextreme Kerr black hole and its application in Strong Cosmic Censorship conjecture ⋮ Peeling for tensorial wave equations on Schwarzschild spacetime ⋮ Price's law for spin fields on a Schwarzschild background ⋮ Late-time asymptotics for geometric wave equations with inverse-square potentials ⋮ Instability of the Kerr Cauchy horizon under linearised gravitational perturbations ⋮ Sharp decay for Teukolsky equation in Kerr spacetimes ⋮ Nonlinear stability for the Maxwell-Born-Infeld system on a Schwarzschild background ⋮ Sharp decay estimates for massless Dirac fields on a Schwarzschild background ⋮ Almost Price's law in Schwarzschild and decay estimates in Kerr for Maxwell field ⋮ Nonlinear radiation gauge for near Kerr spacetimes ⋮ Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study

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