paper

Separation of variables and exact solution of the Klein-Gordon and Dirac equations in an open universe

arXiv:gr-qc/0208017 · doi:10.1063/1.1501445

Abstract

We solve the Klein-Gordon and Dirac equations in an open cosmological universe with a partially horn topology in the presence of a time dependent magnetic field. Since the exact solution cannot be obtained explicitly for arbitrary time-dependence of the field, we discuss the asymptotic behavior of the solutions with the help of the relativistic Hamilton-Jacobi equation.

20 pages. To appear in The Journal of Mathematical Physics

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