Analytical approach of late-time evolution in a torsion cosmology

TL;DR

This paper analytically investigates the late-time behavior of a torsion cosmology with spin-0+ mode, revealing solutions that mimic dark energy and predict eternal expansion of the universe.

Contribution

It provides new analytical solutions for late-time torsion cosmology with constant and non-constant curvature, enhancing understanding of universe evolution in this model.

Findings

Dark energy can be mimicked in torsion cosmology

Universe will expand forever, approaching a halt

Periodic solutions reflect specific evolution periods

Abstract

In this letter, we study the late-time evolution of a torsion cosmology only with the spin-$0^+$ mode. We find three kinds of analytical solutions with a constant affine scalar curvature. In the first case, it is not physical because the matter density will be negative. In the second case, it shows that the dark energy can be mimicked in the torsion cosmological model. In the third case, the characteristic of late-time evolution is similar to that of the universe of matter dominant. And we also find a kind of expression with the non-constant curvature that the periodic character of numerical calculation is only the reflection of solution in a specific period of evolution. Using these expressions, we shall be able to predict the evolution over the late-time. From this prediction, we know the fate of universe that the universe would expand forever, slowly asymtotically to a halt.