Five-dimensional Einstein-Chern-Simons cosmology

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.

Automated summary

In this study, a five-dimensional Einstein-Chern-Simons action involving a gravitational sector and a matter sector was considered. The gravitational sector utilized a Chern-Simons gravity action instead of the traditional Einstein-Hilbert action, while the matter sector was described by a perfect fluid. The gravitational Lagrangian was obtained through gauging certain Lie algebras, which were derived from the S-expansion procedure of anti-de Sitter and de Sitter algebras. Analogy with four-dimensional cosmological schemes was discussed based on the field equations derived from the anti-de Sitter and de Sitter frameworks on the cosmological plane.