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

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

2009-03-04

arxiv.org/abs/0903.0741v1

Physics

Mathematical Physics

21 pages

Scientific paper

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.

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