Dark matter–dark energy interaction for a time-dependent EoS parameter

• Published in: General relativity and gravitation 2014-11, Vol.46 (11), p.1-10, Article 1820
• Main Authors: Nunes, Rafael C., Barboza, Edésio M.
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Classical and Quantum Gravitation; Differential Geometry; Mathematical and Computational Physics; Physics; Physics and Astronomy; Quantum Physics; Relativity Theory; Research Article; Theoretical
• ISSN: 0001-7701; 1572-9532
• DOI: 10.1007/s10714-014-1820-1

In this work we investigate the interaction between dark matter and dark energy for a coupling that obeys the Wang–Meng decaying law, ρ DM ∝ ( 1 + z ) 3 - ϵ , and the Barboza–Alcaniz dark energy parametric model, w = w 0 + w 0 ′ z ( 1 + z ) / ( 1 + z 2 ) . Theoretically, we show that the coupling constant, ϵ , should satisfy the physical constraint ϵ ≥ 0 . We use the most recent data of type Ia supernovae, baryon acoustic oscillations, cosmic microwave background and the Hubble expansion rate function to constrain the free parameters of the model. From a purely observational point of view, we show that is not possible to discard values of the coupling constant in the unphysical region ϵ < 0 . We show that the uncoupled case, ϵ = 0 , is in better agreement with the data than any of coupled models in the physical region. We also find that all physically acceptable interaction in dark sector lies in the narrow range 0 < ϵ ≤ 0.034 (95 % CL).