Stability properties of some perfect fluid cosmological models

Journal Article · Tue Nov 15 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.103518· OSTI ID:20711545

Gorini, Vittorio; Moschella, Ugo ^[1]; Kamenshchik, Alexander ^[1]; Pasquier, Vincent ^[2]; Starobinsky, Alexei ^[3]

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1. Dipartimento di Scienze Fisiche e Mathematiche, Universita dell'Insubria, Via Valleggio 11, 22100 Como (Italy)
2. Service de Physique Theorique, C.E. Saclay, 91191 Gif-sur-Yvette (France)
3. L.D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Kosygin str. 2, 119334 Moscow (Russian Federation)

Flat Friedmann-Robertson-Walker (FRW) perfect fluid cosmologies can be reproduced as particular solutions of suitable field-theoretical models. Here we investigate the stability of perfect fluid model trajectories with respect to sets of trajectories of the corresponding field models having generic initial conditions. It is shown that the trajectories of barotropic perfect fluid models and those of the Chaplygin gas model are stable. The total probability to reach the Chaplygin gas regime early enough to achieve a matter dominated stage having a realistic duration is calculated for a scalar field model assuming a natural measure in the space of initial conditions taken near a cosmological singularity. An example is presented of a two-fluid cosmological model where the stability is partially absent.

• OSTI ID: 20711545
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL MODELS
COSMOLOGY
FLUID MECHANICS
IDEAL FLOW
MATHEMATICAL SOLUTIONS
PROBABILITY
SCALAR FIELDS
SINGULARITY
STABILITY