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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4609
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dc.contributor.authorAshtekar, A.-
dc.contributor.authorVaradarajan, Madhavan-
dc.date.accessioned2012-06-04T08:13:41Z-
dc.date.available2012-06-04T08:13:41Z-
dc.date.issued1994-
dc.identifier.citationPhysical Review D , 1994, Vol.50, p4944-4956en
dc.identifier.issn1550-7998-
dc.identifier.issn1550-2368 (0nline)-
dc.identifier.urihttp://hdl.handle.net/2289/4609-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en
dc.description.abstractA Hamiltonian framework for (2+1)-dimensional gravity coupled with matter (satisfying positive energy conditions) is considered in the asymptotically flat context. It is shown that the total energy of the system is non-negative, vanishing if and only if space-time is (globally) Minkowskian. Furthermore, contrary to one's experience with usual field theories, the Hamiltonian is bounded from above. This is a genuinely nonperturbative result. In the presence of a spacelike Killing field, (3+1)-dimensional vacuum general relativity is equivalent to (2+1)-dimensional general relativity coupled to certain matter fields. Therefore, our expression provides, in particular, a formula for energy per-unit length (along the symmetry direction) of gravitational waves with a spacelike symmetry in 3+1 dimensions. A special case is that of cylindrical waves which have two hypersurface orthogonal, spacelike Killing fields. In this case, our expression is related to the ``c energy'' in a nonpolynomial fashion. While in the weak field limit the two agree, in the strong field regime they differ significantly. By construction, our expression yields the generator of the time translation in the full theory, and therefore represents the physical energy in the gravitational field.en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://arxiv.org/abs/gr-qc/9406040en
dc.relation.urihttp://dx.doi.org/ 10.1103/PhysRevD.50.4944en
dc.relation.urihttp://adsabs.harvard.edu/abs/1994PhRvD..50.4944Aen
dc.rights1994, American Physical Societyen
dc.titleStriking property of the gravitational Hamiltonianen
dc.typeArticleen
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