The Andante Regime of Scalar Field Dynamics

Abstract

The andante regime of scalar field dynamics in the chaotic inflationary Universe is defined as the epoch when the field is rolling moderately slowly down its interaction potential, but at such a rate that first-order corrections to the slow-roll approximation become important. These conditions should apply towards the end of inflation as the field approaches the global minimum of the potential. Solutions to the Einstein-scalar field equations for the class of power law potentials $V(\varphi )\propto {\varphi }^{2n}$ are found in this regime in terms of the inverse error function.

11 pages of plain Latex, FNAL-Pub-94/226-A

References in corpus (9)

• Hybrid Inflation
• Formalising the Slow-Roll Approximation in Inflation
• COBE, Gravitational Waves, Inflation and Extended Inflation
• Perturbation Spectra from Intermediate Inflation
• Quantum Effects In Cosmology
• Reconstructing the Inflaton Potential---Perturbative Reconstruction to Second Order
• On the Production of Scalar and Tensor Perturbations in Inflationary Models
• A New Method of Generating Exact Inflationary Solutions
• Tilting the Primordial Power Spectrum with Bulk Viscosity

Cited by in corpus (4)

• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Qualitative Analysis of Early Universe Cosmologies
• Asymptotic analysis of the derivatives of the inverse error function
• Cosmic No Hair for Braneworlds with a Bulk Dilaton Field