On Solutions to the Wave Equation on Non-globally Hyperbolic Manifold
Mathematical Physics
2009-03-06 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
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.
Cite
@article{arxiv.0903.0741,
title = {On Solutions to the Wave Equation on Non-globally Hyperbolic Manifold},
author = {O. V. Groshev and N. A. Gusev and E. A. Kuryanovich and I. V. Volovich},
journal= {arXiv preprint arXiv:0903.0741},
year = {2009}
}
Comments
21 pages