Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity

Details Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity

2000-04-14

arxiv.org/abs/gr-qc/0004044v1

Class.Quant.Grav. 17 (2000) 3305-3316

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages

Scientific paper

10.1088/0264-9381/17/16/313

Fuchsian equations provide a way of constructing large classes of spacetimes whose singularities can be described in detail. In some of the applications of this technique only the analytic case could be handled up to now. This paper develops a method of removing the undesirable hypothesis of analyticity. This is applied to the specific case of the Gowdy spacetimes in order to show that analogues of the results known in the analytic case hold in the smooth case. As far as possible the likely strengths and weaknesses of the method as applied to more general problems are displayed.

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