Time evolution of the perturbations for a complex scalar field in a Friedmann-Lema{cflx i}tre universe
- Paul Scherrer Institute, Laboratory for Astrophysics, CH-5232 Villigen PSI (Switzerland)
- Institute of Theoretical Physics, University of Zuerich, Winterthurerstrasse 190, CH-8057 Zuerich (Switzerland)
We study the time evolution of small classical perturbations in a gauge-invariant way for a complex scalar field in the early zero-curvature Friedmann-Lema{cflx i}tre universe. We, thus, generalize the analysis which has been done so far for a real scalar field. We give also a derivation of the Jeans wave number in the Newtonian regime starting from the general relativistic equations, avoiding the so-called Jeans swindle. During the inflationary phase, whose length depends on the value of the bosonic charge, the behavior of the perturbations turns out to be the same as for a real scalar field. In the oscillatory phase the time evolution of the perturbations can be determined analytically as long as the bosonic charge of the corresponding background solution is sufficiently large. This is not possible for the real scalar field, since the corresponding bosonic charge vanishes. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 530244
- Journal Information:
- Physical Review, D, Vol. 55, Issue 12; Other Information: PBD: Jun 1997
- Country of Publication:
- United States
- Language:
- English
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