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4-dimensional Einstein gravity extended by a 3-dimensional gravitational Chern-Simons term. (English) Zbl 1105.83018
Summary: When 4-dimensional general relativity is extended by a 3-dimensional gravitational Chern-Simons term an apparent violation of diffeormorphism invariance is extinguished by the dynamical equations of motion for the modified theory. The physical predictions of this recently proposed model show little evidence of symmetry breaking, but require the vanishing of the Pontryagin density.
MSC:
83E15 Kaluza-Klein and other higher-dimensional theories
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
53C80 Applications of global differential geometry to the sciences
81T13 Yang-Mills and other gauge theories in quantum field theory
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