Accelerated cosmological expansion due to a scalar field whose potential has a positive lower bound

Details Accelerated cosmological expansion due to a scalar field whose potential has a positive lower bound Accelerated cosmological expansion due to a scalar field whose potential has a positive lower bound

2004-03-16

arxiv.org/abs/gr-qc/0403070v1

Class.Quant.Grav. 21 (2004) 2445-2454

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages

Scientific paper

10.1088/0264-9381/21/9/018

In many cases a nonlinear scalar field with potential $V$ can lead to accelerated expansion in cosmological models. This paper contains mathematical results on this subject for homogeneous spacetimes. It is shown that, under the assumption that $V$ has a strictly positive minimum, Wald's theorem on spacetimes with positive cosmological constant can be generalized to a wide class of potentials. In some cases detailed information on late-time asymptotics is obtained. Results on the behaviour in the past time direction are also presented.

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