Running of the Spectral Index in Noncommutative Inflation

Details Running of the Spectral Index in Noncommutative Inflation Running of the Spectral Index in Noncommutative Inflation

2004-06-22

arxiv.org/abs/astro-ph/0406477v2

Int.J.Mod.Phys. A20 (2005) 4941-4950

Astronomy and Astrophysics

Astrophysics

13 pages, accepted for publication in Int.J.Mod.Phys.A

Scientific paper

10.1142/S0217751X0502094X

We study the cosmological implications of the space-space noncommutative inflation and present formulae for the spectral index and its running. Our results show that deviations from the spectral index and its running depend on the space-space noncommutativity length scale. We conclude that in the slow-roll regime of a typical inflationary scenario, space-space noncommutativity has negligible effects on both the spectral index and its running. Two classes of examples have been studied and comparisons made with the standard slow-roll formulae. The results show that the correction terms to the commutative case are positive for the spectral index and negative for the running of the spectral index. Nevertheless the spectral index in noncommutative spaces is less than one owing to the very small values of the correction terms.

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