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Phys. Rev. D 69, 021301(R) (2004) [4 pages]

Some constraints on inflation models with power-law potentials

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S. A. Pavluchenko
Sternberg Astronomical Institute, Moscow State University, Moscow 119992, Russia

Received 8 October 2003; published 28 January 2004

We investigate inflation in a closed Friedmann-Robertson-Walker universe filled with the scalar field with a power-law potential. For a wide range of powers and parameters of the potential we numerically calculate the slow-roll parameters and scalar spectral index at the epoch when the present Hubble scale leaves the horizon and at the end of inflation. Also we compare the results of our numerical calculations with recent observational data. This allows us to set a constraint on the power of the potential: α≲(3.5–4.5).

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.021301
DOI:
10.1103/PhysRevD.69.021301
PACS:
98.80.Bp, 98.80.Cq