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Generalised hyperbolicity in conical space-times

J. A. Vickers·J. P. Wilson
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Abstract

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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J. A. Vickers, J. P. Wilson. 1999-07-30. Generalised hyperbolicity in conical space-times. https://doi.org/10.1088/0264-9381%2F17%2F6%2F302

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