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

Rendall, Alan D.

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

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Rendall, Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rendall, A. D. (2004). Accelerated cosmological expansion due to a scalar field whose potential has a positive lower bound. Classical and Quantum Gravity, 21, 2445-2454. Retrieved from http://www.iop.org/EJ/S/0/M8650/U4zpRiUT1dHBDPaKep5Fbg/article/0264-9381/21/9/018/cqg4_9_018.pdf.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-510F-8

Abstract

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.