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

Juan A. Valiente-Kroon
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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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Juan A. Valiente-Kroon. 2000-05-19. On the existence and convergence of polyhomogeneous expansions of zero-rest-mass fields. https://doi.org/10.1088/0264-9381%2F17%2F21%2F302

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