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 |
References:
| [1] | Bak, D., Cangeini, D., and Jackiw, R. (1994). Physical Review D 49, 5173. · doi:10.1103/PhysRevD.49.5173 |
| [2] | Carroll, S. and Field, G. (1997). Physical Review Letters 79, 2394. · doi:10.1103/PhysRevLett.79.2394 |
| [3] | Carroll, S., Field, G., and Jackiw, R. (1990). Physical Review D 41, 1231. · doi:10.1103/PhysRevD.41.1231 |
| [4] | Chern, S. (1979). Complex Manifolds Without Potential Theory, 2nd ed., Springer, Berlin. · Zbl 0444.32004 |
| [5] | Deser, S., Jackiw, R., and Templeton, S. (1982). Annals of Physics (New York) 140, 372. · doi:10.1016/0003-4916(82)90164-6 |
| [6] | Deser, S., Jackiw, R., and Templeton, S. (1988). Annals of Physics (New York) (E) 185, 406 (1988). · doi:10.1016/0003-4916(88)90053-X |
| [7] | Goldhaber, M. and Trimble, V. (1996). Journal of Astrophysics Astronomy 17, 17. · doi:10.1007/BF02709342 |
| [8] | Garcia, A., Hehl, F., Heinicke, C., and Macias, A. (2004). Classical and Quantum Gravity 21, 1099. · Zbl 1045.83051 · doi:10.1088/0264-9381/21/4/024 |
| [9] | Jacobson, T., Liberati, S., Mattingly, D. and Stecker, F. (2004). Physical Review Letters 93, 021101. · doi:10.1103/PhysRevLett.93.021101 |
| [10] | Jackiw, R. and Pi, S.-Y. (2003). Physical Review D 68, 104012. · doi:10.1103/PhysRevD.68.104012 |
| [11] | Lue, A., Wang, L., and Kamionkowski, M. (1999). Physical Review Letters 83, 1506. · doi:10.1103/PhysRevLett.83.1506 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
