Matter production effects and interacting scenario within a reconstructed mimetic cosmology for late times
V\'ictor H. C\'ardenas, Miguel Cruz, Samuel Lepe

TL;DR
This paper investigates two extensions of reconstructed mimetic cosmology: matter production effects enabling phantom crossing, and an interacting dark sector with sign-changing interactions and non-thermal equilibrium, supported by statistical analysis.
Contribution
It introduces matter production and a novel interacting dark sector scheme within reconstructed mimetic cosmology, with detailed analysis of their cosmological implications.
Findings
Matter production allows crossing the phantom divide.
Interaction term Q changes sign, violating the second law.
Dark sector components are out of thermal equilibrium.
Abstract
In this work we explore two possible scenarios that can be considered to extend a recent proposed model by the authors known as reconstructed mimetic cosmology. This study is complemented with an statistical analysis for each case. The first scenario considers the inclusion of matter production as a possible source of cosmic expansion in the reconstructed mimetic model, at effective level was found that this construction can cross the phantom divide, the model evolves from quintessence to phantom dark energy. The second scenario corresponds to a construction of an interacting scheme for the dark sector which is described by the unified mimetic model. The resulting interaction term (not imposed by an Ansatz), , exhibits changes of sign leading to the violation of the second law along the cosmic evolution and non adiabaticity; the temperatures for the components of the dark sector are…
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