Canonical formulation of pp-waves
- Author(s)
- Herbert Balasin, Peter Christian Aichelburg
- 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. © 2007 Springer Science+Business Media, LLC.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Technische Universität Wien
- Journal
- General Relativity and Gravitation
- Volume
- 39
- Pages
- 1075-1085
- No. of pages
- 11
- ISSN
- 0001-7701
- DOI
- https://doi.org/10.1007/s10714-007-0452-0
- Publication date
- 2007
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 1030 Physics, Astronomy
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/canonical-formulation-of-ppwaves(ed2b7f8a-792a-48a4-b0f7-9385345f2f5b).html