Cosmological application of the Maxwell gravity

TL;DR

This paper explores a cosmological model based on Maxwell gravity derived from gauging an extended Poincaré algebra, revealing new scalar fields and solutions that include de Sitter and non-accelerated universes.

Contribution

It introduces a novel cosmological model using Maxwell gravity with scalar fields, extending Einstein-Yang-Mills theory within a homogeneous and isotropic universe.

Findings

Derivation of modified Friedmann equations with additional scalar contributions

Exact solutions for scalar fields with exponential scale factor evolution

Identification of conditions leading to de Sitter and non-accelerated universes

Abstract

In this study, we consider a cosmological model for the Maxwell gravity which is constructed by gauging the semi-simple extended Poincar\'e algebra. Inspired by the Einstein-Yang-Mills theory, we describe the Maxwell gauge field in terms of two additional time-dependent scalar fields. Within the context of a homogeneous and isotropic Friedmann-Lema\^itre-Robertson-Walker universe, we derive the Friedmann equations together with new contributions. Additionally, we find the exact expressions for the additional scalar fields, considering the exponential evolution of the scale factor. Moreover, we investigate the gauge theory of gravity based on the Maxwell algebra and demonstrate that this model leads to the (anti) de Sitter universe as well as a non-accelerated universe model.