Canonical Formulation of pp-waves
arXiv:0705.0228 · doi:10.1007/s10714-007-0452-0
Abstract
We construct a Hamiltonian formulation for the class of plane-fronted gravitational waves with parallel rays (pp-waves). Because of the existence of a light-like Killing vector, the dynamics is effectively reduced to a 2+1 evolution with "time" chosen to be light-like. In spite of the vanishing action this allows us to geometrically identify a symplectic form as well as dynamical Hamiltonian, thus casting the system into canonical form.
To appear in the "Obregon Festschrift"