Running of the Scalar Spectral Index and Observational Signatures of Inflation

Details Running of the Scalar Spectral Index and Observational Signatures of Inflation Running of the Scalar Spectral Index and Observational Signatures of Inflation

2003-04-07

arxiv.org/abs/astro-ph/0304113v3

Phys.Lett. B575 (2003) 157-164

Astronomy and Astrophysics

Astrophysics

12 pages. Extended discussion and bibliography

Scientific paper

Some of the consequences for inflationary cosmology of a scale dependence (running) in the tilt of the scalar perturbation spectrum are considered. In the limit where the running is itself approximately scale-invariant, a relationship is found between the scalar and tensor perturbation amplitudes, the scalar spectral index and its running. This relationship is independent of the functional form of the inflaton potential. More general settings, including that of braneworld cosmological models, are also considered. It is found that for the Randall-Sundrum single braneworld scenario, the corresponding relation between the observables takes precisely the same form as that arising in the standard cosmology. Some implications of the observations failing to satisfy such a relationship are discussed.

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