General solutions to $\mathcal{N}$-field cosmology with exponential potentials
Cosmology and Nongalactic Astrophysics
2021-06-01 v4 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
We construct the general analytical solution for the -field product-exponential potential in an expanding FLRW background. We demonstrate the relevance of this analytical solution in more general contexts for the derivation of estimates for the transitional time between an arbitrary initial state and the slow-roll solutions. In certain cases, these estimates can also be used to demonstrate the non-linear convergence towards the slow-roll solutions. In addition, we extend the solution to include stiff matter as well.
Keywords
Cite
@article{arxiv.1811.06456,
title = {General solutions to $\mathcal{N}$-field cosmology with exponential potentials},
author = {Perseas Christodoulidis},
journal= {arXiv preprint arXiv:1811.06456},
year = {2021}
}
Comments
v4: improved discussion, solution generalized to N fields, dynamical systems section left out to match published version; v2: 20+1 pages, 5 figures, corrected typos; v3: small changes