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Article Dans Une Revue Classical and Quantum Gravity Année : 2008

Asymptotics and Hamiltonians in a First order formalism

Résumé

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.

Dates et versions

hal-00477181 , version 1 (28-04-2010)

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Abhay Ashtekar, Jonathan Engle, David Sloan. Asymptotics and Hamiltonians in a First order formalism. Classical and Quantum Gravity, 2008, 25, pp.095020. ⟨hal-00477181⟩
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