A transition between bouncing hyper-inflation to ΛCDM from diffusive scalar fields

Abstract

We consider the history of the universe from a possible big bang or a bounce into a late period of a unified interacting dark energy - dark matter model. The model is based on the Two Measures Theories (T.M.T.) which introduces a metric independent volume element and this allows us to construct a unification of dark energy and dark matter. A generalization of the T.M.T. gives a diffusive non-conservative stress energy momentum tensor in addition to the conserved stress energy tensor which appear in Einstein equations. These leads to a formulation of interacting DE-DM dust models in the form of a diffusive type interacting Unified Dark Energy and Dark Matter scenario. The deviation from $\Lambda$CDM is determined by the diffusion constant $C_2$. For $C_2=0$ the model is indistinguishable from $\Lambda$CDM. Numerical solutions of the theories show that in some $C_2\ne 0$ the evolution of the early universe is governed by Stiff equation of state or the universe bounces to hyper inflation. But all of those solutions have a final transition to $\Lambda$CDM as a stable fixed point for the late universe.

Updated version, before acceptance for publication

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• Diffusion in unimodular gravity: Analytical solutions, late-time acceleration, and cosmological constraints
• Lorentzian Quintessential Inflation
• Quintessential Inflation from Lorentzian Slow Roll
• Non-Canonical Volume-Form Formulation of Modified Gravity Theories and Cosmology
• The Scale Factor Potential Approach to Inflation
• Linear potentials in galaxy halos by Asymmetric Wormholes
• Dynamically Generated Inflationary Lambda-CDM
• $\Lambda$CDM as a Noether Symmetry in Cosmology
• Cosmology of fermionic dark energy coupled to curvature
• Does diffusion mechanism favor the emergent scenario of the universe?