On the existence and convergence of polyhomogeneous expansions of zero-rest-mass fields

Abstract

The convergence of polyhomogeneous expansions of zero-rest-mass fields in asymptotically flat spacetimes is discussed. An existence proof for the asymptotic characteristic initial value problem for a zero-rest-mass field with polyhomogeneous initial data is given. It is shown how this non-regular problem can be properly recast as a set of regular initial value problems for some auxiliary fields. The standard techniques of symmetric hyperbolic systems can be applied to these new auxiliary problems, thus yielding a positive answer to the question of existence in the original problem.

10 pages, 1 eps figure

References in corpus (4)

• Conserved Quantities for Polyhomogeneous Space-Times
• Logarithmic Newman-Penrose constants for arbitrary polyhomogeneous spacetimes
• Polyhomogeneity and zero-rest-mass fields with applications to Newman-Penrose constants
• A comment on the Outgoing Radiation Condition and the Peeling Theorem

Cited by in corpus (5)

• Three-dimensional asymptotically flat Einstein-Maxwell theory
• Characteristic initial data and smoothness of Scri. I. Framework and results
• Cosmic branes and asymptotic structure
• Staticity and regularity for zero rest-mass fields near spatial infinity on flat spacetime
• Three dimensional black strings: instabilities and asymptotic charges