Dimensionally Reduced Gravitational Chern-Simons Term and its Kink

Abstract

When the gravitational Chern-Simons term is reduced from 3 to 2 dimensions, the lower dimensional theory supports a symmetry breaking solution and an associated kink. Kinks in general relativity bear a close relation to flat space kinks, governed by identical potentials.

18 pages, one paragraph added in conclusions, typos corrected, accepted by Annals of Physics

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• Dilaton Gravity in Two Dimensions
• Is there evidence for cosmic anisotropy in the polarization of distant radio sources?
• Creation and evolution of magnetic helicity
• Geometric Gravitational Forces on Particles Moving in a Line
• Reducing the Chern-Simons term by a symmetry

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