The effect of varying sound velocity on primordial curvature perturbations

M Nakashima, R Saito, Y Takamizu…�- Progress of theoretical�…, 2011 - academic.oup.com
M Nakashima, R Saito, Y Takamizu, J Yokoyama
Progress of theoretical physics, 2011academic.oup.com
We study the effects of sudden change in the sound velocity on primordial curvature
perturbation spectrum in inflationary cosmology, assuming that the background evolution
satisfies the slow-roll condition throughout. It is found that the power spectrum acquires
oscillating features which are determined by the ratio of the sound speed before and after
the transition and the wavenumeber which crosses the sound horizon at the transition, and
their analytic expression is given. In some values of those parameters, the oscillating�…
Abstract
We study the effects of sudden change in the sound velocity on primordial curvature perturbation spectrum in inflationary cosmology, assuming that the background evolution satisfies the slow-roll condition throughout. It is found that the power spectrum acquires oscillating features which are determined by the ratio of the sound speed before and after the transition and the wavenumeber which crosses the sound horizon at the transition, and their analytic expression is given. In some values of those parameters, the oscillating primordial power spectrum can better fit the observed Cosmic Microwave Background temperature anisotropy power spectrum than the simple power-law power spectrum, although introduction of such a new degree of freedom is not justified in the context of Akaike's Information Criterion.
Oxford University Press