Dynamics and statefinder analysis of a class of sign-changeable interacting dark energy scenarios

Abstract

We revise the dynamical properties of a class of cosmological models where the dark sector interacts through an interacting term that changes sign during evolution. In particular, we obtain the critical points and we investigate the existence and stability conditions for cosmological solutions, describing radiation, matter and dark energy dominated eras. We find that all the studied models admit a stable critical point corresponding to an accelerated phase. We use background data to find the best fit parameters for one of the studied models, resulting an interacting parameter with a definite sign within $1\sigma$ confidence level, consistent with the results of the dynamical system analysis. We also compute the statefinder parameters and plot the $r-q$ and $r-s$ planes, where we observe different trajectories when we vary the interaction parameter for a specific model and when we vary the interacting scenario. We can in this sense distinguish among models, including $\Lambda$CDM.

arXiv comment20 pages, 16 figures, 9 tables

References in corpus (42)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dynamics of dark energy
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Baryonic Features in the Matter Transfer Function
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Multimodal nested sampling: an efficient and robust alternative to MCMC methods for astronomical data analysis
• Statefinder -- a new geometrical diagnostic of dark energy
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Holographic dark energy and cosmic coincidence
• Dark Matter and Dark Energy Interactions: Theoretical Challenges, Cosmological Implications and Observational Signatures
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Can interacting dark energy solve the $H_0$ tension?
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: First measurement of Baryon Acoustic Oscillations between redshift 0.8 and 2.2
• Tale of stable interacting dark energy, observational signatures, and the $H_0$ tension
• Baryon acoustic oscillations from the complete SDSS-III Ly$\alpha$-quasar cross-correlation function at $z=2.4$
• Echo of interactions in the dark sector
• Interacting dark energy with time varying equation of state and the $H_0$ tension
• Statefinder parameters for interacting dark energy
• Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints
• Dark sector interaction: a remedy of the tensions between CMB and LSS data
• Interacting Dark Energy and Cosmological Equations of State
• Cosmological Constraints on the Sign-Changeable Interactions
• Cosmological dynamics with non-linear interactions
• The Price of Shifting the Hubble Constant
• Dynamical analysis and statefinder of Barrow holographic dark energy
• AIC and BIC for cosmological interacting scenarios
• Dynamics and cosmological evolution in Λ-varying cosmology
• Dynamical systems methods and statefinder diagnostic of interacting vacuum energy models
• Bayesian Comparison of Interacting Scenarios
• Background evolution and growth of structures in interacting dark energy through dynamical system analysis
• Interacting Ricci-like holographic dark energy
• Dark Energy: A Unifying View
• CMB and matter power spectra with non-linear dark-sector interactions
• On sign-changeable interaction in FLRW cosmology
• Baryonic matter perturbations in decaying vacuum cosmology
• Bayesian Comparison of Interacting Modified Holographic Ricci Dark Energy Scenarios

Cited by in corpus (7)

• Probing the sign-changeable interaction between dark energy and dark matter with DESI baryon acoustic oscillations and DES supernovae data
• Revisiting the dynamics of interacting vector-like dark energy
• III. Interacting Dark Energy: Summary of Models, Pathologies, and Constraints
• In search of an interaction in the dark sector through Gaussian Process and ANN approaches
• Interacting phantom dark energy: new accelerating scaling attractors
• I. Linear Interacting Dark Energy: Analytical Solutions and Theoretical Pathologies
• Crunching, Bouncing, and Cyclical Cosmologies from Dark Sector Interactions