Peeling of Dirac field on Kerr spacetime

DOI10.1063/1.5121433zbMath1440.83004arXiv2107.02969OpenAlexW3009405935MaRDI QIDQ5110772

Truong Xuan Pham

Publication date: 22 May 2020

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

Full work available at URL: https://arxiv.org/abs/2107.02969

zbMATH Keywords

Einstein field equationsgeneral relativitydifferential geometryvector fieldsWeyl equationDirac fieldsspacetime physics

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) PDEs in connection with relativity and gravitational theory (35Q75) Fermionic systems in quantum theory (81V74)

Related Items (6)

Conformal scattering theory for the Dirac equation on Kerr spacetime ⋮ Peeling for tensorial wave equations on Schwarzschild spacetime ⋮ Conformal scattering theories for tensorial wave equations on Schwarzschild spacetime ⋮ Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime ⋮ Sharp decay estimates for massless Dirac fields on a Schwarzschild background ⋮ Cauchy and Goursat problems for the generalized spin zero rest-mass equations on Minkowski spacetime

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Peeling of Dirac and Maxwell fields on a Schwarzschild background
• Republication of: a theorem on Petrov types
• A nonlinear Klein--Gordon equation on Kerr metrics
• Peeling on Kerr spacetime: linear and semi-linear scalar fields
• On the asymptotics for the vacuum Einstein constraint equations
• Creation of fermions by rotating charged black holes
• Gravitational waves in general relativity. VI. The outgoing radiation condition
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• A space-time calculus based on pairs of null directions
• Peeling properties of asymptotically flat solutions to the Einstein vacuum equations
• The Kerr spacetime in generalized Bondi–Sachs coordinates
• Existence of non-trivial, vacuum, asymptotically simple spacetimes
• On local and global aspects of the Cauchy problem in general relativity
• On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
• SCATTERING OF MASSLESS DIRAC FIELDS BY A KERR BLACK HOLE
• Regularity at space-like and null infinity
• CONFORMAL SCATTERING AND THE GOURSAT PROBLEM
• Zero rest-mass fields including gravitation: asymptotic behaviour
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations

This page was built for publication: Peeling of Dirac field on Kerr spacetime