Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-01-25
Class.Quant.Grav. 22 (2005) 1655-1666
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
19 pages, results unchanged, additional background
Scientific paper
10.1088/0264-9381/22/9/013
It is shown that spatially homogeneous solutions of the Einstein equations coupled to a nonlinear scalar field and other matter exhibit accelerated expansion at late times for a wide variety of potentials $V$. These potentials are strictly positive but tend to zero at infinity. They satisfy restrictions on $V'/V$ and $V''/V'$ related to the slow-roll approximation. These results generalize Wald's theorem for spacetimes with positive cosmological constant to those with accelerated expansion driven by potentials belonging to a large class.
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