Canonical Formulation of pp-waves

Details Canonical Formulation of pp-waves Canonical Formulation of pp-waves

2007-05-02

arxiv.org/abs/0705.0228v1

Gen.Rel.Grav.39:1075-1085,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in the "Obregon Festschrift"

Scientific paper

10.1007/s10714-007-0452-0

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.

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