Hertz potentials and asymptotic properties of massless fields

DOI10.1007/s00220-014-2078-xzbMath1298.83005arXiv1303.4377OpenAlexW2949480399MaRDI QIDQ742870

Jérémie Joudioux, Thomas Bäckdahl, Lars Andersson

Publication date: 19 September 2014

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

Full work available at URL: https://arxiv.org/abs/1303.4377

zbMATH Keywords

asymptotic propertiesweighted Sobolev spacesmassless fieldHertz potentialspin-\(s\) field equation

Mathematics Subject Classification ID

Special relativity (83A05) PDEs in connection with relativity and gravitational theory (35Q75) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (8)

The general relativistic constraint equations ⋮ Asymptotic charges for spin-1 and spin-2 fields at the critical sets of null infinity ⋮ Conformal scattering theory for the Dirac equation on Kerr spacetime ⋮ Mode stability on the real axis ⋮ Gluing for the constraints for higher spin fields ⋮ Zero rest-mass fields and the Newman–Penrose constants on flat space ⋮ Symmetries of linearized gravity from adjoint operators ⋮ 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
• Unnamed Item
• Unnamed Item
• Peeling of Dirac and Maxwell fields on a Schwarzschild background
• On the construction of a geometric invariant measuring the deviation from Kerr data
• On elliptic systems in \(R^ n\)
• Déformations infinitésimales des structures conformes plates. (Infinitesimal deformations of conformally flat structures)
• Asymptotic properties of the solutions of linear and nonlinear spin field equations in Minkowski space
• Lectures on nonlinear hyperbolic differential equations
• Stein-Weiss operators and ellipticity
• Perturbation theory for linear operators.
• Partial differential equations VIII. Overdetermined systems. Dissipative singular Schrödinger operator. Index theory. Transl. from the Russian by C. Constanda
• Asymptotic properties of linear field equations in minkowski space
• Gravitational waves in general relativity. VI. The outgoing radiation condition
• Real methods in twistor theory
• The mass of an asymptotically flat manifold
• Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• On elliptic operators in
• Elliptic operators and the decomposition of tensor fields
• Remarks on the global sobolev inequalities in the minkowski space Rⁿ⁺¹
• Generalized spherical harmonics and exterior differentiation in weighted sobolev spaces
• Debye potentials for Maxwell and Dirac fields from a generalization of the Killing–Yano equation
• Peeling properties of asymptotically flat solutions to the Einstein vacuum equations
• Zero rest-mass fields including gravitation: asymptotic behaviour
• Weighted decay estimates for the wave equation

This page was built for publication: Hertz potentials and asymptotic properties of massless fields