ar X iv : g r - qc / 9 90 71 05 v 1 3 0 Ju l 1 99 9 GENERALISED HYPERBOLICITY IN CONICAL SPACE - TIMES
نویسندگان
چکیده
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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