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 Mtheory with nontrivial fourform flux on a maximally symmetric internal space. To describe the asymptotic features of runaway solutions we introduce the concept of a 'quasi fixed point'. We give the complete classification of solutions according to their latetime behaviour (accelerating, decelerating, crunch) and the number of periods of accelerated expansion.
 Publication:

Journal of Cosmology and Astroparticle Physics
 Pub Date:
 August 2004
 DOI:
 10.1088/14757516/2004/08/016
 arXiv:
 arXiv:hepth/0403063
 Bibcode:
 2004JCAP...08..016J
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 46 pages, 5 figures