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

Victor M. Villalba·E. Isasi
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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.

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Victor M. Villalba, E. Isasi. 2002-08-07. Separation of variables and exact solution of the Klein-Gordon and Dirac equations in an open universe. https://doi.org/10.1063/1.1501445

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