Couplings of gravitational currents with Chern-Simons gravities

TL;DR

This paper develops a method to couple gravitational currents with Chern-Simons gravities, deriving field equations in odd dimensions and analyzing specific cases in three and five dimensions.

Contribution

It generalizes the coupling of gravitational conserved currents to Chern-Simons gravities, including explicit field equations in odd dimensions.

Findings

Field equations for coupled Chern-Simons gravities derived in odd dimensions

Explicit analysis of three- and five-dimensional cases

Construction of gravitational currents from Killing-Yano forms

Abstract

The coupling of conserved p-brane currents with non-Abelian gaugetheories is done consistently by using Chern-Simons forms. Conserved currents localized on p-branes that have a gravitational origin can be constructed from Killing-Yano forms of the underlying spacetime. We propose a generalization of the coupling procedure with Chern-Simons gravities to the case of gravitational conserved currents. In odd dimensions, the field equations of coupled Chern-Simons gravities that describe the local curvature on p-branes are obtained. In special cases of three and five dimensions, the field equations are investigated in detail.