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

2000/05/19 by Juan Antonio Valiente Kroon, Juan A. Valiente-Kroon · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1088/0264-9381/17/21/302

published as Class.Quant.Grav. 17 (2000) 4365-4376 · 10 pages, 1 eps figure

arxiv created 2000/05/19 · openalex publication_date 2000/10/05 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

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