$O(d,d)$ symmetry in teleparallel dark energy

TL;DR

This paper explores the presence of $O(d,d)$ symmetry in teleparallel dark energy models, deriving classical solutions and discussing quantum cosmology implications through the Wheeler-DeWitt equation.

Contribution

It demonstrates the existence of $O(d,d)$ symmetry in teleparallel dark energy and derives classical solutions, extending duality concepts to this framework.

Findings

$O(d,d)$ symmetry is present in teleparallel dark energy.

Classical solutions of the field equations are obtained.

The Wheeler-DeWitt equation in this context is discussed.

Abstract

An important characteristic of the Dilaton cosmological model is the Gasperini-Veneziano duality transformation which follows from the existence of the $O\left( d,d\right) $ symmetry. In this study, we consider the equivalent Dilaton theory in teleparallel dark energy with the $O\left( d,d\right) $ symmetry, while the equivalent teleparallel-duality transformation is presented. The classical solution of the field equations is derived. Finally the Wheeler-DeWitt equation of quantum cosmology is discussed.