Astronomy and Astrophysics – Astrophysics
Scientific paper
2001-11-06
Phys.Rev. D65 (2002) 083509
Astronomy and Astrophysics
Astrophysics
20 pages, 7 figures. Major changes to the Introduction following referee's comments. One figure added. Some other minor change
Scientific paper
10.1103/PhysRevD.65.083509
The single scalar field inflationary models that lead to scalar and tensor perturbation spectra with amplitudes varying in direct proportion to one another are reconstructed by solving the Stewart-Lyth inverse problem to next-to-leading order in the slow-roll approximation. The potentials asymptote at high energies to an exponential form, corresponding to power law inflation, but diverge from this model at low energies, indicating that power law inflation is a repellor in this case. This feature implies that a fine-tuning of initial conditions is required if such models are to reproduce the observations. The required initial conditions might be set through the eternal inflation mechanism. If this is the case, it will imply that the spectral indices must be nearly constant, making the underlying model observationally indistinguishable from power law inflation.
Garcia Alberto A.
Lidsey James E.
Terrero-Escalante Cesar A.
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