Quantum fields in cosmological spacetimes - A soluble example

Details Quantum fields in cosmological spacetimes - A soluble example Quantum fields in cosmological spacetimes - A soluble example

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6.1893c&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, Dec. 1, 1989, p. 1893-1907. Research supported by CNPq, COPECUB, and MRE

Statistics

Computation

3

Computational Astrophysics, Cosmology, Quantum Theory, Space-Time Functions, Astronomical Models, Klein-Gordon Equation, Relativistic Theory

Scientific paper

The Klein-Gordon equation is solved for a massive real scalar field in a nonsingular 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 nonsingular 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.

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