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university of Provence - Aix-Marseille I |  |
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university of Provence - Aix-Marseille I | |
| HAL: hal-00477181, version 1 |
| arXiv: 0802.2527 |
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| Classical and Quantum Gravity 25 (2008) 095020 |
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| Asymptotics and Hamiltonians in a First order formalism |
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| Abhay AshtekarJonathan Engle 1 |
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| (2008) |
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| We 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. |
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| 1: | Centre de Physique Théorique (CPT) |
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CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var |
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| Subject | : | Physics/Mathematical Physics Physics/General Relativity and Quantum Cosmology Physics/High Energy Physics - Theory Mathematics/Mathematical Physics |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/0802.2527 |
| hal-00477181, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00477181 | |
| oai:hal.archives-ouvertes.fr:hal-00477181 | |
| From: Jonathan Engle | |
| Submitted on: Wednesday, 28 April 2010 13:04:17 | |
| Updated on: Wednesday, 28 April 2010 13:04:17 | |
