Usuario: guest
No has iniciado sesión
No has iniciado sesión
Type: Inproceedings
Boundary Terms and the 3+1 Decomposition of the Holst Action
Book Title: LOOPS 11: NON-PERTURBATIVE / BACKGROUND INDEPENDENT QUANTUM GRAVITY
Abstract:
Starting from the Holst action with surface terms and the fall-off conditions that make the variational principle and the covariant phase space formulation well-defined for asymptotically flat spacetimes, we rewrite the surface terms in the 3+1 decomposition of the action. We explore their relation with the surface terms in the Hamiltonian formulation in terms of Ashtekar variables. Just as for the Einstein-Hilbert action, if variations respecting asymptotic flatness are allowed, the energy and momentum in the Hamiltonian framework are not directly recovered from the 3+1 decomposition and gauge fixing of these terms.
Starting from the Holst action with surface terms and the fall-off conditions that make the variational principle and the covariant phase space formulation well-defined for asymptotically flat spacetimes, we rewrite the surface terms in the 3+1 decomposition of the action. We explore their relation with the surface terms in the Hamiltonian formulation in terms of Ashtekar variables. Just as for the Einstein-Hilbert action, if variations respecting asymptotic flatness are allowed, the energy and momentum in the Hamiltonian framework are not directly recovered from the 3+1 decomposition and gauge fixing of these terms.
Keywords: General-Relativity
Publisher: IOP Publishing LTD
Address: Dirac House, Temple Back, Bristol BS1 6BE, England
ISSN: 1742-6588
Year: 2012
Volume: 360
Created: 2013-01-22 18:06:22
Modified: 2014-02-13 11:06:09
Referencia revisada
Autores Institucionales Asociados a la Referencia: