# Late-time power-law stages of cosmological evolution in teleparallel gravity with nonminimal coupling

## TL;DR

This paper studies late-time cosmological evolution in teleparallel gravity models with nonminimal coupling, finding new stable asymptotic solutions that describe the Universe's behavior in vacuum and with matter.

## Contribution

It introduces new analytical asymptotic solutions for teleparallel gravity with nonminimal coupling and demonstrates their stability through numerical analysis.

## Key findings

- New asymptotic solutions for late-time cosmology in teleparallel gravity.
- Stability of these solutions under initial condition variations.
- Relevance to the Universe's evolution in vacuum and matter-filled scenarios.

## Abstract

We investigate the Universe evolution at late-time stages in models of teleparallel gravity with power-law nonminimal coupling and a decreasing power-law potential of the scalar field $\phi$. New asymptotic solutions are found analytically for these models in vacuum and with a perfect fluid. Applying numerical integration, we show that the cosmological evolution leads to these solutions for some region of the initial conditions, and these asymptotic regimes are stable with respect to homogeneous variations of the initial data. The physical sense of the results is discussed.