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 spacetimes which are asymptotically flat at spatial infinity and show that, in the first-order framework, the action principle is well defined 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 Ashtekar et al (2008 Class. Quantum Grav. 25 095020 (arXiv:0802.2527)). The higher-dimensional analysis is in fact simpler because of the absence of logarithmic and super translation ambiguities.

Original languageEnglish (US)
Article number225025
JournalClassical and Quantum Gravity
Volume25
Issue number22
DOIs
Publication statusPublished - Dec 1 2008

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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