Expressions for linearized perturbations in a massive-scalar-field-dominated cosmological model

Mathematics – Logic

Scientific paper

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Scientific paper

A spatially flat cosmological model dominated by a massive scalar (or pseudoscalar) field (Φ) with the scalar field potential V(Φ)=m2(Φ-Φ(2))2 (where Φ(2) is the value of the scalar field at which the potential vanishes), in the limit in which the length scale corresponding to the scalar field mass m is very much smaller than length scales of cosmological interest (and, in particular, the length scale set by the Hubble parameter), is a tractable approximation of the macrophysics of both the late-time axion-dominated scenario as well as the early-time ``reheating'' subscenario of the inflation picture. Extending techniques we have previously developed, we derive solutions of the synchronous-gauge relativistic linear perturbation equations which govern the evolution of spatial irregularities, about a spatially homogeneous and isotropic background, in this model.

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