Accelerating Universe with a dynamic cosmological term

TL;DR

This paper investigates dynamic models of the cosmological term to explain the universe's acceleration, showing their equivalence and consistency with observational data, including supernovae measurements.

Contribution

It introduces specific dynamical models of the cosmological term and demonstrates their equivalence and alignment with observational data.

Findings

Models are equivalent when connecting parameters with matter and vacuum energy densities.

Estimated current physical parameters align with supernovae and experimental data.

The models provide insights into the past decelerating phase of the universe.

Abstract

Keeping in mind the current picture of an accelerating and flat Universe, some specific dynamical models of the cosmological term $\Lambda$ have been selected for investigating the nature of dark energy. Connecting the free parameters of the models with the cosmic matter and vacuum energy density parameters, it is shown that the models are equivalent. Using the selected models, the present values of some of the physical parameters have been estimated, and a glimpse at the past decelerating universe has also been presented. It is observed that most of these cosmological parameters nicely agree with the values suggested by the Type Ia Supernovae and other experimental data.