Couplings of gravitational currents with Chern-Simons gravities

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Ertem Ü., AÇIK Ö.

Physical Review D - Particles, Fields, Gravitation and Cosmology, vol.87, no.4, 2013 (SCI-Expanded) identifier


The coupling of conserved p-brane currents with non-Abelian gauge theories 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. © 2013 American Physical Society.