English

Method of comparison equations for cosmological perturbations

General Relativity and Quantum Cosmology 2009-11-11 v1 Astrophysics High Energy Physics - Theory

Abstract

We apply the method of comparison equations to study cosmological perturbations during inflation, obtaining the full power spectra of scalar and tensor perturbations to first and to second order in the slow-roll parameters. We compare our results with those derived by means of other methods, in particular the Green's function method and the improved WKB approximation, and find agreement for the slow-roll structure. The method of comparison equations, just as the improved WKB approximation, can however be applied to more general situations where the slow-roll approximation fails.

Keywords

Cite

@article{arxiv.gr-qc/0603026,
  title  = {Method of comparison equations for cosmological perturbations},
  author = {R. Casadio and F. Finelli and A. Kamenshchik and M. Luzzi and G. Venturi},
  journal= {arXiv preprint arXiv:gr-qc/0603026},
  year   = {2009}
}

Comments

20 pages, 10 figures