Generalised hyperbolicity in conical space-times

Details Generalised hyperbolicity in conical space-times Generalised hyperbolicity in conical space-times

1999-07-30

arxiv.org/abs/gr-qc/9907105v1

Class.Quant.Grav. 17 (2000) 1333-1360

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, AmSTeX, 2 postscript figures

Scientific paper

10.1088/0264-9381/17/6/302

Solutions of the wave equation in a space-time containing a thin cosmic string are examined in the context of non-linear generalised functions. Existence and uniqueness of solutions to the wave equation in the Colombeau algebra G is established for a conical space-time and this solution is shown to be associated to a distributional solution. A concept of generalised hyperbolicity, based on test fields, can be defined for such singular space-times and it is shown that a conical space-time is G-hyperbolic.

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