Conformal symmetry and accelerating cosmology in teleparallel gravity

TL;DR

This paper explores how conformal symmetry can be incorporated into teleparallel gravity theories, demonstrating their capability to model accelerating cosmologies like the $ ext{Lambda}$CDM universe and de Sitter expansion.

Contribution

It introduces conformal transformations in teleparallel gravity and shows how conformal scalar fields can produce realistic cosmological acceleration models.

Findings

Realization of power-law and de Sitter acceleration in extended teleparallel gravity with conformal scalar fields

Pure teleparallel gravity with conformal scalar fields can reproduce the $ ext{Lambda}$CDM model

Existence of de Sitter solutions in conformal torsion gravity

Abstract

We discuss conformal issues of pure and extended teleparallel gravity. In particular, we present formulations of conformal transformation in teleparallel gravity. Furthermore, we propose conformal scalar and gauge field theories in teleparallel gravity and study conformal torsion gravity. We explicitly demonstrate that a power-law acceleration (including the $\Lambda$CDM universe) as well as the de Sitter expansion of the universe can be realized in extended teleparallel gravity with a conformal scalar field, and that pure teleparallel gravity with a conformal scalar field can lead to the $\Lambda$CDM model. It is also shown that there can exist the de Sitter solution in conformal torsion gravity.