Phase Space Analysis of Quintessence Cosmologies with a Double Exponential Potential
Abstract
We use phase space methods to investigate closed, flat, and open Friedmann-Robertson-Walker cosmologies with a scalar potential given by the sum of two exponential terms. The form of the potential is motivated by the dimensional reduction of M-theory with non-trivial four-form flux on a maximally symmetric internal space. To describe the asymptotic features of run-away solutions we introduce the concept of a `quasi fixed point.' We give the complete classification of solutions according to their late-time behavior (accelerating, decelerating, crunch) and the number of periods of accelerated expansion.
Keywords
Cite
@article{arxiv.hep-th/0403063,
title = {Phase Space Analysis of Quintessence Cosmologies with a Double Exponential Potential},
author = {Laur Jarv and Thomas Mohaupt and Frank Saueressig},
journal= {arXiv preprint arXiv:hep-th/0403063},
year = {2009}
}
Comments
46 pages, 5 figures; v2: minor changes, references added; v3: title changed, refined classification of solutions, 3 references added, version which appeared in JCAP