WKB approximation for inflationary cosmological perturbations

Martin J, Schwarz D (2003)
PHYSICAL REVIEW D 67(8): 083512.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
A new method for predicting inflationary cosmological perturbations, based on the Wentzel-Kramers-Brillouin (WKB) approximation, is presented. A general expression for the WKB scalar and tensor power spectra is derived. The main advantage of the new scheme of approximation is that it is valid even if the slow-roll conditions are violated. The method is applied to power-law inflation, which allows a comparison with an exact result. It is demonstrated that the WKB approximation predicts the spectral indices exactly and the amplitude with an error lower than 10%, even in regimes far from scale invariance. The new method of approximation is also applied to a situation where the slow-roll conditions hold. It is shown that the result obtained bears close resemblance with the standard slow-roll calculation. Finally, some possible improvements are briefly mentioned.
Erscheinungsjahr
2003
Zeitschriftentitel
PHYSICAL REVIEW D
Band
67
Ausgabe
8
Art.-Nr.
083512
ISSN
0556-2821
eISSN
1089-4918
Page URI
https://pub.uni-bielefeld.de/record/2323246

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Martin J, Schwarz D. WKB approximation for inflationary cosmological perturbations. PHYSICAL REVIEW D. 2003;67(8): 083512.
Martin, J., & Schwarz, D. (2003). WKB approximation for inflationary cosmological perturbations. PHYSICAL REVIEW D, 67(8), 083512. doi:10.1103/PhysRevD.67.083512
Martin, J., and Schwarz, D. (2003). WKB approximation for inflationary cosmological perturbations. PHYSICAL REVIEW D 67:083512.
Martin, J., & Schwarz, D., 2003. WKB approximation for inflationary cosmological perturbations. PHYSICAL REVIEW D, 67(8): 083512.
J. Martin and D. Schwarz, “WKB approximation for inflationary cosmological perturbations”, PHYSICAL REVIEW D, vol. 67, 2003, : 083512.
Martin, J., Schwarz, D.: WKB approximation for inflationary cosmological perturbations. PHYSICAL REVIEW D. 67, : 083512 (2003).
Martin, J, and Schwarz, Dominik. “WKB approximation for inflationary cosmological perturbations”. PHYSICAL REVIEW D 67.8 (2003): 083512.

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