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Time evolution of the perturbations for a complex scalar field in a Friedmann-Lemaı̂tre universe

Time evolution of the perturbations for a complex scalar field in a Friedmann-Lemaı̂tre universe 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-Lemaı̂tre 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Time evolution of the perturbations for a complex scalar field in a Friedmann-Lemaı̂tre universe

Physical Review D , Volume 55 (12) – Jun 15, 1997
11 pages

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References (10)

Publisher
American Physical Society (APS)
Copyright
Copyright © 1997 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.55.7440
Publisher site
See Article on Publisher Site

Abstract

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-Lemaı̂tre 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.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jun 15, 1997

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