Recovering the Inflationary Potential

Details Recovering the Inflationary Potential Recovering the Inflationary Potential

1993-07-26

arxiv.org/abs/astro-ph/9307035v1

Phys.Rev. D48 (1993) 5539-5545

Astronomy and Astrophysics

Astrophysics

13 pages LaTeX, 6 Figs. available on request, FNAL-Pub-93/182-A

Scientific paper

10.1103/PhysRevD.48.5539

A procedure is developed for the recovery of the inflationary potential over the interval that affects astrophysical scales ($\approx 1\Mpc - 10^4\Mpc$). The amplitudes of the scalar and tensor metric perturbations and their power-spectrum indices, which can in principle be inferred from large-angle CBR anisotropy experiments and other cosmological data, determine the value of the inflationary potential and its first two derivatives. From these, the inflationary potential can be reconstructed in a Taylor series and the consistency of the inflationary hypothesis tested. A number of examples are presented, and the effect of observational uncertainties is discussed.

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