Dynamical system analysis of interacting models

We perform a dynamical system analysis of a cosmological model with linear dependence between the vacuum density and the Hubble parameter, with constant-rate creation of dark matter. We show that the de Sitter spacetime is an asymptotically stable critical point, future limit of any expanding soluti...

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Bibliographic Details
Published in:General relativity and gravitation 2018, Vol.50 (1), p.1-11, Article 1
Main Authors: Carneiro, S., Borges, H. A.
Format: Article
Language:English
Subjects:
Astronomical models
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Critical point
Dark matter
Differential Geometry
Dynamical systems
Gravity
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Red shift
Relativity Theory
Research Article
Spacetime
Systems analysis
Theoretical
Universe
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Summary:We perform a dynamical system analysis of a cosmological model with linear dependence between the vacuum density and the Hubble parameter, with constant-rate creation of dark matter. We show that the de Sitter spacetime is an asymptotically stable critical point, future limit of any expanding solution. Our analysis also shows that the Minkowski spacetime is an unstable critical point, which eventually collapses to a singularity. In this way, such a prescription for the vacuum decay not only predicts the correct future de Sitter limit, but also forbids the existence of a stable Minkowski universe. We also study the effect of matter creation on the growth of structures and their peculiar velocities, showing that it is inside the current errors of redshift space distortions observations.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-017-2322-8