Action and Hamiltonians in higher dimensional general relativity: First order framework

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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12 pages, no figures. Extends the 4 dimensional analysis of arXiv:0802.2527 to higher dimensions

Scientific paper

10.1088/0264-9381/25/22/225025

We consider $d>4$-dimensional space-times which are asymptotically flat at spatial infinity and show that, in the first order framework, the action principle 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 isolated system. This work runs parallel to our previous analysis in four dimensions \cite{aes}. The higher dimensional analysis is in fact simpler because of absence of logarithmic and super translation ambiguities.

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