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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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20 pages. To appear in The Journal of Mathematical Physics

Scientific paper

10.1063/1.1501445

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.

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