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

Ashtekar, Abhay and Sloan, David (2008) Action and Hamiltonians in higher-dimensional general relativity: first-order framework. Classical and Quantum Gravity. ISSN 0264-9381

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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.

Item Type:
Journal Article
Journal or Publication Title:
Classical and Quantum Gravity
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100/3101
Subjects:
ID Code:
131148
Deposited By:
Deposited On:
11 Feb 2019 09:40
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 11:49