Reexamining generalized Chaplygin gas with the sign-changeable interaction

Xi, Peng; Li, Ping

doi:10.1007/s10509-015-2512-3

Cited by 7 publications

(2 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, a study of Chaplygin gas with a coupling between dark energy and dark matter has been considered. Xi & Li (2015) performed a dynamical systems analysis with a particular interaction in the dark sector. This model did not fix the sign of the interaction hence allowing energy transfer in both directions.…”

Section: Chaplygin Gasmentioning

confidence: 99%

Dynamical systems applied to cosmology: Dark energy and modified gravity

et al. 2018

View full text Add to dashboard Cite

The Nobel Prize winning confirmation in 1998 of the accelerated expansion of our Universe put into sharp focus the need of a consistent theoretical model to explain the origin of this acceleration. As a result over the past two decades there has been a huge theoretical and observational effort into improving our understanding of the Universe. The cosmological equations describing the dynamics of a homogeneous and isotropic Universe are systems of ordinary differential equations, and one of the most elegant ways these can be investigated is by casting them into the form of dynamical systems. This allows the use of powerful analytical and numerical methods to gain a quantitative understanding of the cosmological dynamics derived by the models under study. In this review we apply these techniques to cosmology. We begin with a brief introduction to dynamical systems, fixed points, linear stability theory, Lyapunov stability, centre manifold theory and more advanced topics relating to the global structure of the solutions. Using this machinery we then analyse a large number of cosmological models and show how the stability conditions allow them to be tightly constrained and even ruled out on purely theoretical grounds. We are also able to identify those models which deserve further in depth investigation through comparison with observational data. This review is a comprehensive and detailed study of dynamical systems applications to cosmological models focusing on the late-time behaviour of our Universe, and in particular on its accelerated expansion. In self contained sections we present a large number of models ranging from canonical and non-canonical scalar fields, interacting models and non-scalar field models through to modified gravity scenarios. Selected models are discussed in detail and interpreted in the context of late-time cosmology.

show abstract

Section: Chaplygin Gasmentioning

confidence: 99%

Dynamical systems applied to cosmology: Dark energy and modified gravity

et al. 2018

View full text Add to dashboard Cite

show abstract

“…See Refs. [66][67][68][69][70][71][72][73][74][75][76][77][78] for other works on the models of sign-changeable interaction.…”

Section: Introductionmentioning

confidence: 99%

Probing the sign-changeable interaction between dark energy and dark matter with current observations

Guo

Zhang

et al. 2018

Sci. China Phys. Mech. Astron.

View full text Add to dashboard Cite

We consider the models of vacuum energy interacting with cold dark matter in this study, in which the coupling can change sigh during the cosmological evolution. We parameterize the running coupling b by the form b(a) = b0a + be(1 − a), where at the early-time the coupling is given by a constant be and today the coupling is described by another constant b0. We explore six specific models withHρc. The current observational data sets we use to constrain the models include the JLA compilation of type Ia supernova data, the Planck 2015 distance priors data of cosmic microwave background observation, the baryon acoustic oscillations measurements, and the Hubble constant direct measurement. We find that, for all the models, we have b0 < 0 and be > 0 at around the 1σ level, and b0 and be are in extremely strong anti-correlation. Our results show that the coupling changes sign during the evolution at about the 1σ level, i.e., the energy transfer is from dark matter to dark energy when dark matter dominates the universe and the energy transfer is from dark energy to dark matter when dark energy dominates the universe.PACS numbers: 95.36.+x, 98.80.Es,

show abstract