Asymptotics and Hamiltonians in a First order formalism

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dc.creatorAshtekar, Abhay
dc.creatorEngle, Jonathan
dc.creatorSloan, David
dc.date2008-02-18
dc.date2008-03-19
dc.date.accessioned2026-07-07T11:40:21Z
dc.date.available2026-07-07T11:40:21Z
dc.descriptionWe consider 4-dimensional space-times which are asymptotically flat at spatial infinity and show that, in the first order framework, action principle for general relativity is well-defined \emph{without the need of infinite counter terms.} It naturally leads to a covariant phase space in which the Hamiltonians generating asymptotic symmetries provide the total energy-momentum and angular momentum of the space-time. We address the subtle but important problems that arise because of logarithmic translations and super-translations both in the Langrangian and Hamiltonian frameworks. As a forthcoming paper will show, the treatment of higher dimensions is considerably simpler. Our first order framework also suggests a new direction for generalizing the spectral action of non-commutative geometry.
dc.description18 pages, No figures. Added a footnote 2 and two references
dc.identifierhttps://arxiv.org/abs/0802.2527
dc.identifierhttp://arxiv.org/abs/0802.2527
dc.identifierClass.Quant.Grav.25:095020,2008
dc.identifierdoi:10.1088/0264-9381/25/9/095020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200229
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleAsymptotics and Hamiltonians in a First order formalism
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