Five-dimensional Einstein-Chern-Simons cosmology

TL;DR

This paper explores a five-dimensional cosmological model based on Einstein-Chern-Simons gravity, derived from gauged Lie algebras, and compares its field equations with four-dimensional cosmology.

Contribution

It introduces a novel five-dimensional Einstein-Chern-Simons cosmological model using S-expansion of Lie algebras, extending previous four-dimensional frameworks.

Findings

Derivation of field equations from Anti-de Sitter and de Sitter algebras.

Identification of analogies with four-dimensional cosmological models.

Analysis of matter and gravitational sectors in five dimensions.

Abstract

We consider a five-dimensional Einstein-Chern-Simons action which is composed of a gravitational sector and a sector of matter, where the gravitational sector is given by a Chern-Simons gravity action instead of the Einstein-Hilbert action, and where the matter sector is given by a perfect fluid. The gravitational lagrangian is obtained gauging some Lie-algebras, which in turn, were obtained by S-expansion procedure of Anti-de Sitter and de Sitter algebras. On the cosmological plane, we discuss the field equations resulting from the Anti-de Sitter and de Sitter frameworks and we show analogies with four-dimensional cosmological schemes.