Phase Space Analysis of Quintessence Cosmologies with a Double Exponential Potential

Details Phase Space Analysis of Quintessence Cosmologies with a Double Exponential Potential Phase Space Analysis of Quintessence Cosmologies with a Double Exponential Potential

2004-03-05

arxiv.org/abs/hep-th/0403063v3

JCAP 0408 (2004) 016

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, 5 figures; v2: minor changes, references added; v3: title changed, refined classification of solutions, 3 references

Scientific paper

10.1088/1475-7516/2004/08/016

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.

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