Abstract:It may well happen that the two main components of the dark sector of the Universe, dark matter and dark energy, do not evolve separately but interact nongravitationally with one another. However, given our current lack of knowledge on the microscopic nature of these two components there is no clear theoretical path to determine their interaction. Yet, over the years, phenomenological interaction terms have been proposed on mathematical simplicity and heuristic arguments. In this paper, based on the likely evo… Show more
“…[34] that an interaction proportional to Hρ x could be consistent with the second law of thermodynamics if the energy transfer is from DE to DM, also, in Ref. [35] it was shown that interactions proportional to H (ρ m + ρ x ) or Hρ m can arise by imposing simple thermodynamic arguments based on the evolution of the ratio ρ m /ρ x . For interactions proportional to ρ m , ρ x or a linear combination of both, we note from Eqs.…”
In this work we study linear and nonlinear cosmological interactions, which depend on dark matter and dark energy densities in the framework of general relativity. By using the Akaike information criterion (AIC) and the bayesian information criterion (BIC) with data from SnIa (Union 2.1 and binned JLA), H(z), BAO and CMB we compare the interacting models among themselves and analyze whether more complex interacting models are favored by these criteria. In this context, we find some suitable interactions that alleviate the coincidence problem.
“…[34] that an interaction proportional to Hρ x could be consistent with the second law of thermodynamics if the energy transfer is from DE to DM, also, in Ref. [35] it was shown that interactions proportional to H (ρ m + ρ x ) or Hρ m can arise by imposing simple thermodynamic arguments based on the evolution of the ratio ρ m /ρ x . For interactions proportional to ρ m , ρ x or a linear combination of both, we note from Eqs.…”
In this work we study linear and nonlinear cosmological interactions, which depend on dark matter and dark energy densities in the framework of general relativity. By using the Akaike information criterion (AIC) and the bayesian information criterion (BIC) with data from SnIa (Union 2.1 and binned JLA), H(z), BAO and CMB we compare the interacting models among themselves and analyze whether more complex interacting models are favored by these criteria. In this context, we find some suitable interactions that alleviate the coincidence problem.
“…The dynamical nature of dark energy also introduces a new cosmological problem, namely, "coincidence" problem [26]. One alternative to the coincidence problem are coupled dark energy models where DE interchanges energy with the dark matter (DM) by means of a coupling term [27][28][29][30][31][32]. Though a number of theoretical models have been proposed, none of them provides a satisfactory solution to all the problems.…”
In this present work, we try to build up a cosmological model using a non-canonical scalar field within the framework of a spatially flat FRW space-time. In this context, we have considered four different parametrizations of the equation of state parameter of the non-canonical scalar field. Under this scenario, analytical solutions for various cosmological parameters have been found out. It has been found that the deceleration parameter shows a smooth transition from a positive value to some negative value which indicates that the universe was undergoing an early deceleration followed by late time acceleration which is essential for the structure formation of the universe. With these four parametrizations, the future evolution of the models are also discussed. It has been found that one of the models (Generalized Chaplygin gas model, GCG) mimics the concordance CDM in the near future, whereas two other models (CPL and JBP) diverge due to future singularity. Finally, we have studied these theoretical models with the latest datasets from SN Ia + H (z) + BAO/CMB.
“…In [46], the authors define the ratio between CDM and DE energy densities ρ m /ρ e in a FLRW homogeneous model. For an interacting term proportional to the DE energy density, they show that the ratio is positive defined, and decreases from infinity monotonously as the universes expands.…”
We examine the evolution of an inhomogeneous mixture of non-relativistic pressureless cold dark matter (CDM), coupled to dark energy (DE) characterised by the equation of state parameter w < −1/3, with the interaction term proportional to the DE density. This coupled mixture is the source of a spherically symmetric Lemaître-Tolman-Bondi (LTB) metric admitting an asymptotic Friedman-Lemaître-Robertson-Walker (FLRW) background. Einstein's equations reduce to a 5-dimensional autonomous dynamical system involving quasi-local variables related to suitable averages of covariant scalars and their fluctuations. The phase space evolution around the critical points (past/future attractors and five saddles) is examined in detail. For all parameter values and both directions of energy flow (CDM to DE and DE to CDM) the phase space trajectories are compatible with a physically plausible early cosmic times behaviour near the past attractor. This result compares favourably with mixtures with interaction driven by the CDM density, whose past evolution is unphysical for DE to CDM energy flow. Numerical examples are provided describing the evolution of an initial profile that can be associated with idealised structure formation scenarios.
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