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Phys. Rev. D 79, 103515 (2009) [9 pages]

Dynamics of a scalar field in Robertson-Walker spacetimes

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Edmund J. Copeland1,*, Shuntaro Mizuno1,2,†, and Maryam Shaeri1,‡
1School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
2Research Center for the Early Universe (RESCEU), School of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan

Received 15 April 2009; published 14 May 2009

We analyze the dynamics of a single scalar field in Friedmann-Robertson-Walker universes with spatial curvature. We obtain the fixed point solutions which are shown to be late time attractors. In particular, we determine the corresponding scalar field potentials which correspond to these stable solutions. The analysis is quite general and incorporates expanding and contracting universes with both positive and negative scalar potentials. We demonstrate that the known power law, exponential, and de Sitter solutions are certain limits of our general set of solutions.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.79.103515
DOI:
10.1103/PhysRevD.79.103515
PACS:
98.80.Cq

*ed.copeland@nottingham.ac.uk

shuntaro.mizuno@nottingham.ac.uk

ppxms1@nottingham.ac.uk