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

Abhay Ashtekar, David Sloan

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

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
StatePublished - 2008

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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