Chern-Simons Extension of ESK Theory

TL;DR

This paper explores a Chern-Simons extension of Einstein's gravity, focusing on a torsional formulation and its implications for cosmology and particle physics, building on previous work with curvature-based modifications.

Contribution

It introduces a torsional completion of a Chern-Simons extended gravity theory, expanding the understanding of topological modifications in gravitational models.

Findings

Topological extension of least-order gravity with torsion.

Implications for cosmology and particle physics.

Connection to re-normalizable gravity theories.

Abstract

The commonly-known Chern-Simons extension of Einstein gravitational theory is written in terms of a square-curvature term added to the linear-curvature Hilbert Lagrangian. In a recent paper, we constructed two Chern-Simons extensions according to whether they consisted of a square-curvature term added to the square-curvature Stelle Lagrangian or of one linear-curvature term added to the linear-curvature Hilbert Lagrangian [Ref. 4]. The former extension gives rise to the topological extension of the re-normalizable gravity, the latter extension gives rise to the topological extension of the least-order gravity. This last theory will be written here in its torsional completion. Then a consequence for cosmology and particle physics will be addressed.