Killing Symmetries as Hamiltonian Constraints [CL]

http://arxiv.org/abs/1511.05829


The existence of a Killing symmetry in a gauge theory is equivalent to the addition of extra Hamiltonian constraints in its phase space formulation, which imply restrictions both on the Dirac observables (the gauge invariant physical degrees of freedom) and on the gauge freedom.
When there is a time-like Killing vector field only pure gauge electromagnetic fields survive in Maxwell theory in Minkowski space-time , while in ADM canonical gravity in asymptotically Minkowskian space-times only inertial effects without gravitational waves survive.

Read this paper on arXiv…

L. Lusanna
Thu, 19 Nov 15
61/73

Comments: 26 pages. arXiv admin note: text overlap with arXiv:1401.1370, arXiv:1108.3224