Dark energy from a geometrical gauge scalar-tensor theory of gravity

TL;DR

This paper explores a geometrical gauge scalar-tensor theory of gravity with Weyl integrable geometry, deriving cosmological solutions that align with observational data on universe acceleration.

Contribution

It introduces a new class of power law solutions within a Weyl integrable geometry framework, matching observational parameters.

Findings

Deceleration parameter approaches -1/2

Equation of state matches PLANCK 2018 data

Power law solutions for Weyl scalar field

Abstract

In this paper we obtain some cosmological solutions that describe the present period of accelerating expansion of the universe in the framework of a geometrical gauge scalar-tensor theory of gravity. The background geometry in the model is the Weyl integrable and we found a class of power law solutions for the Weyl scalar field when an invariant metric is employed in a power law expanding universe. We obtain a deceleration and an equation of state parameters in agreement with PLANCK 2018 observational data for some specific parameters of the model. The deceleration parameter tends asymptotically to $-1/2$.