Scalar field cosmology in phase space
Using dynamical systems methods, we describe the evolution of a minimally coupled scalar field and a Friedmann-Lemaître-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 th...
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| Veröffentlicht in: | General relativity and gravitation 2013, Vol.45 (1), p.103-123 |
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| container_title | General relativity and gravitation |
| container_volume | 45 |
| creator | Faraoni, Valerio Protheroe, Charles S. |
| description | Using dynamical systems methods, we describe the evolution of a minimally coupled scalar field and a Friedmann-Lemaître-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. |
| doi_str_mv | 10.1007/s10714-012-1462-0 |
| format | Article |
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| subjects | Astronomy Astrophysics and Cosmology Classical and Quantum Gravitation Differential Geometry Mathematical and Computational Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Research Article Theoretical |
| title | Scalar field cosmology in phase space |
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