J Korbicz and J Tafel 2004 Class. Quantum Grav. 21 3301 doi:10.1088/0264-9381/21/13/012
Lagrangian and Hamiltonian for the Bondi–Sachs metrics
J Korbicz1 and J Tafel2
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a 69, 00-681 Warsaw, Poland
We calculate the Hilbert action for the Bondi–Sachs metrics. It yields the Einstein vacuum equations in a closed form. Following the Dirac approach to constrained systems we investigate the related Hamiltonian formulation. For regular null surfaces the Hamiltonian defines an energy which coincides with the Bondi mass and is positive.
- PACS
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04.20.Fy Canonical formalism, Lagrangians, and variational principles
- MSC
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83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
- Subjects
- Dates
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Issue 13 (7 July 2004)
Received 23 December 2003
Published 14 June 2004
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Lagrangian and Hamiltonian for the Bondi–Sachs metrics
J Korbicz and J Tafel 2004 Class. Quantum Grav. 21 3301
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