Abstract
The authors solve the Klein-Gordon equation for a massive real scalar field in a non-singular spatially homogeneous and isotropic cosmological background which is tangent to Milne universes in the distant past and future (and hence asymptotically flat) and evolves between these two geometries via a phase of contraction to a point of maximum curvature followed by expansion. This allows a computation of the Bogolubov coefficients of the scalar field, usually interpreted as the rate of creation of matter by the time-varying gravitational field, either when the vacuum is defined at the moment of maximum curvature (the non-singular 'big bang') or at the beginning of the cosmic contraction. This new exact solution is compared with the results obtained when the geometry is that of a Milne universe.
Published Version
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