The phase-space view of inflation: I. The non-minimally coupled scalar field

The Phase Space portrait of a cosmological model with a scalar field coupled to curvature is discussed in detail, analytically and numerically, for any value of the coupling constant ξ and any power law (ϕ2n) potential. The results, particularly intuitive from the graphical point of view, generalize...

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Hauptverfasser: Amendola, Luca (VerfasserIn) , Litterio, Marco (VerfasserIn) , Occhionero, Franco (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1990
In: International journal of modern physics. A, Particles and fields, gravitation, cosmology
Year: 1990, Jahrgang: 05, Heft: 20, Pages: 3861-3886
ISSN:1793-656X
DOI:10.1142/S0217751X90001653
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1142/S0217751X90001653
Verlag, Volltext: http://www.worldscientific.com/doi/abs/10.1142/S0217751X90001653
Volltext
Verfasserangaben:Luca Amendola, Osservatorio Astronomico di Roma, Viale del Parco Mellini 84, 00136 Roma, Italy; Marco Litterio, Osservatorio Astronomico di Roma, Viale del Parco Mellini 84, 00136 Roma, Italy; Franco Occhionero, Osservatorio Astronomico di Roma, Viale del Parco Mellini 84, 00136 Roma, Italy

MARC

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520 |a The Phase Space portrait of a cosmological model with a scalar field coupled to curvature is discussed in detail, analytically and numerically, for any value of the coupling constant ξ and any power law (ϕ2n) potential. The results, particularly intuitive from the graphical point of view, generalize previous studies on the phase space with minimal coupling (ξ = 0) and quadratic or quartic potentials to the entire parameter space (ξ, n). We find global inflationary attractors, often in analytical form, with or without the correct Friedmannian limit. If the coupling constant is negative, escaping regions may occur, while, if it is positive, a forbidden region cuts out a large part of the phase space. Semiclassical instability of vacuum states and singularity-free trajectories are also discussed. 
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