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arXiv · 0808.2069

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

Abhay Ashtekar·David Sloan
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Abstract

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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Abhay Ashtekar, David Sloan. 2008-08-14. Action and Hamiltonians in higher dimensional general relativity: First order framework. https://doi.org/10.1088/0264-9381%2F25%2F22%2F225025

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