Physics
Scientific paper
Oct 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15..919a&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 15, Oct. 1983, p. 919-929.
Physics
Big Bang Cosmology, Particle Production, Quantum Theory, Unified Field Theory, Universe, Elementary Particles, Gravitation Theory, Particle Density (Concentration), Particle Mass, Relativity, Spectrum Analysis, Time Dependence, Wentzel-Kramer-Brillouin Method
Scientific paper
Created particle spectra are calculated in Robertson-Walker universes with given metrics and scale factors. A massive scalar field coupled conformally to the background metric is quantized ignoring the back-reaction effects of quantized field to space-time. It is proposed that the positive frequency modes at the initial and final stages should be defined by using the WKB-like boundary condition suggested by Fulling (1979). It is shown that at the final stage the WKB approximation to the wave equation is valid and that the WKB-like condition gives a WKB-type positive frequency mode. The choices of a radiation-dominated and a linearly expanding universe are also considered. Finally, the case of an exponentially expanding universe is addressed, showing that the boundary condition must be imposed at a finite final time in order that the total number density of created particles remain finite.
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