Recovering the Inflationary Potential

Abstract

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.

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

References in corpus (14)

• Natural Inflation: Particle Physics Models, Power Law Spectra for Large Scale Structure, and Constraints from COBE
• COBE, Gravitational Waves, Inflation and Extended Inflation
• Tensor Perturbations in Inflationary Models as a Probe of Cosmology
• Cosmic Microwave Background Probes Models of Inflation
• Perturbation Spectra from Intermediate Inflation
• The Imprint of Gravitational Waves on the Cosmic Microwave Background
• Reconstructing the Inflaton Potential---in Principle and in Practice
• Polarization of the Microwave Background due to Primordial Gravitational Waves
• Observing the Inflaton Potential
• Density Perturbations,Gravity Waves and the Cosmic Microwave Background
• The gravitational wave contribution to CMB anisotropies and the amplitude of mass fluctuations from COBE results
• The Implications of the COBE-DMR Results for Cosmic Strings
• On the Production of Scalar and Tensor Perturbations in Inflationary Models
• Large- and Small-Scale Constraints on Power Spectra in $\Omega =1$ Universes

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• Kinematic Constraints to the Key Inflationary Observables
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• Testing Inflation with the Cosmic Microwave Background
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• Statistical Constraints on the Inflation Effective Potential from the COBE DMR Results
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