Vickers, J.A. and Wilson, J.P. (2000) Generalised hyperbolicity in conical spacetimes. Classical and Quantum Gravity, 17 (6), 1333-1360. (doi:10.1088/0264-9381/17/6/302).
Abstract
Solutions of the wave equation in a spacetime containing a thin cosmic string are examined in the context of nonlinear generalized functions. Existence and uniqueness of solutions to the wave equation in the Colombeau algebra is established for a conical spacetime and this solution is shown to be associated with a distributional solution. A concept of generalized hyperbolicity, based on test fields, can be defined for such singular spacetimes and it is shown that a conical spacetime is -hyperbolic
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