Killing Symmetries as Hamiltonian Constraints
General Relativity and Quantum Cosmology
2016-04-20 v1 High Energy Astrophysical Phenomena
High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1511.05829,
title = {Killing Symmetries as Hamiltonian Constraints},
author = {Luca Lusanna},
journal= {arXiv preprint arXiv:1511.05829},
year = {2016}
}
Comments
26 pages. arXiv admin note: text overlap with arXiv:1401.1370, arXiv:1108.3224