Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3257
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dc.contributor.authorSamuel, J.-
dc.date.accessioned2007-07-16T10:05:32Z-
dc.date.available2007-07-16T10:05:32Z-
dc.date.issued2000-11-
dc.identifier.citationClassical and Quantum Gravity, 2000, Vol.17, p4645-4654en
dc.identifier.issn0264-9381-
dc.identifier.urihttp://hdl.handle.net/2289/3257-
dc.descriptionRestricted Access.en
dc.description.abstractThis paper discusses the implementation of diffeomorphism invariance in purely Hamiltonian formulations of general relativity. We observe that, if a constrained Hamiltonian formulation derives from a manifestly covariant Lagrangian, the diffeomorphism invariance of the Lagrangian results in the following properties of the constrained Hamiltonian theory: the diffeomorphisms are generated by constraints on the phase space so that: (a) the algebra of the generators reflects the algebra of the diffeomorphism group; (b) the Poisson brackets of the basic fields with the generators reflects the spacetime transformation properties of these basic fields. This suggests that in a purely Hamiltonian approach the requirement of diffeomorphism invariance should be interpreted to include (b) and not just (a) as one might naively suppose. Giving up (b) amounts to giving up objective histories, even at the classical level. This observation has implications for loop quantum gravity which are spelled out in a companion paper. We also describe an analogy between canonical gravity and relativistic particle dynamics to illustrate our main point.en
dc.format.extent97443 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoenen
dc.publisherIOP Publishing Ltd.en
dc.relation.urihttp://dx.doi.org/10.1088/0264-9381/17/22/305en
dc.rights2000 IOP Publishing Ltd.en
dc.titleCanonical gravity, diffeomorphisms and objective historiesen
dc.typeArticleen
Appears in Collections:Research Papers (TP)

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