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

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

2000-05-19

arxiv.org/abs/gr-qc/0005087v1

Class.Quant.Grav. 17 (2000) 4365-4376

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 1 eps figure

Scientific paper

10.1088/0264-9381/17/21/302

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.

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