On Solutions to the Wave Equation on Non-globally Hyperbolic Manifold

Groshev, O. V.; Gusev, N. A.; Kuryanovich, E. A.; Volovich, I. V.

On Solutions to the Wave Equation on Non-globally Hyperbolic Manifold

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Description

We consider the Cauchy problem for the wave equation on a non-globally hyperbolic manifold of the special form (Minkowski plane with a handle) containing closed timelike curves (time machines). We prove that the classical solution of the Cauchy problem exists and is unique if and only if the initial data satisfy to some set of additional conditions.
21 pages