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Phase Space Analysis of Quintessence Cosmologies with a Double Exponential Potential

Laur Jarv·Thomas Mohaupt·Frank Saueressig
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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.

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Laur Jarv, Thomas Mohaupt, Frank Saueressig. 2004-09-15. Phase Space Analysis of Quintessence Cosmologies with a Double Exponential Potential. https://doi.org/10.1088/1475-7516%2F2004%2F08%2F016

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