Vacuum effects in a spatially homogeneous and isotropic cosmological background

Physics

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Astronomical Models, Cosmology, Quantum Mechanics, Vacuum Effects, Dirac Equation, Hypergeometric Functions, Klein-Gordon Equation, Scalars, Wave Equations

Scientific paper

We obtain, by separation of variables, an exact solution to the Klein-Gordon and Dirac equations in a cosmological, spatially-closed, Robertson-Walker space-time with a positive cosmological constant Lambda. The model is associated with a universe filled with radiation. We analyze the phenomenon of particle creation for different values of the dimensionless coupling constant xi.

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