Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/12442
Title: Dimensional reduction and gauge group reduction in Bianchi-type cosmology
Author: Pons Ràfols, Josep Maria
Shepley, L. C.
Keywords: Relativitat (Física)
Gravitació
Teoria de camps (Física)
Partícules (Física nuclear)
Special relativity (Physics)
Gravitation
Field theory (Physics)
Particles (Nuclear physics)
Issue Date: 1998
Publisher: The American Physical Society
Abstract: In this paper we examine in detail the implementation, with its associated difficulties, of the Killing conditions and gauge fixing into the variational principle formulation of Bianchi-type cosmologies. We address problems raised in the literature concerning the Lagrangian and the Hamiltonian formulations: We prove their equivalence, make clear the role of the homogeneity preserving diffeomorphisms in the phase space approach, and show that the number of physical degrees of freedom is the same in the Hamiltonian and Lagrangian formulations. Residual gauge transformations play an important role in our approach, and we suggest that Poincaré transformations for special relativistic systems can be understood as residual gauge transformations. In the Appendixes, we give the general computation of the equations of motion and the Lagrangian for any Bianchi-type vacuum metric and for spatially homogeneous Maxwell fields in a nondynamical background (with zero currents). We also illustrate our counting of degrees of freedom in an appendix.
Note: Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.58.024001
It is part of: Physical Review D, 1998, vol. 58, núm. 2, p. 024001-1-024001-17
URI: http://hdl.handle.net/2445/12442
ISSN: 0556-2821
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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