Introduction to Particle Cosmology by Cosimo Bambi & Alexandre D. Dolgov

Author:Cosimo Bambi & Alexandre D. Dolgov
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

(6.103)

If inflation is realized with a slow roll regime, as it is discussed in Sect. 6.3.1, then , , and we can estimate the magnitude of the density perturbations as

(6.104)

For , we obtain

(6.105)

while for we find

(6.106)

Since, roughly speaking, and at the end of inflation , we conclude that and to agree with observational data.

In the limit of constant H and , the flat Harrison-Zeldovich spectrum of perturbations is obtained. However, we need to take into account the slow variations of and H and to estimate these quantities when the wavelength of the perturbations became equal to the cosmological horizon, because after that the corresponding modes remained constant. This leads to some small corrections to the flat spectrum. The discussion of this and a few more corrections can be found, for instance, in Mukhanov (2005), Weinberg (2008), Gorbunov and Rubakov (2011).

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.