Scalar field cosmology in phase space - INSPIRE

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Scalar field cosmology in phase space

2012

24 pages

Published in:

Gen.Rel.Grav. 45 (2013) 103-123

e-Print:

1209.3726 [gr-qc]

DOI:

10.1007/s10714-012-1462-0

View in:

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Abstract: (arXiv)

Using dynamical systems methods, we describe the evolution of a minimally coupled scalar field and a Friedmann-Lemaitre-Robertson-Walker universe in the context of general relativity, which is relevant for inflation and late-time quintessence eras. Focussing on the spatially flat case, we examine the geometrical structure of the phase space, locate the equilibrium points of the system (de Sitter spaces with a constant scalar field), study their stability through both a third-order perturbation analysis and Lyapunov functions, and discuss the late-time asymptotics. As we do not specify the scalar field's origin or its potential, the results are independent of the high-energy model.

Note:

24 pages, 3 figures, to appear in General Relativity and Gravitation

98.80.Cq
Scalar field cosmology
Inflation
Quintessence
Dynamical systems
field theory: scalar
coupling: scalar
space: de Sitter
coupling: minimal
general relativity

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Figures(0)

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