Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Action and Hamiltonians in higher-dimensional general relativity: first-order framework
AU - Ashtekar, Abhay
AU - Sloan, David
PY - 2008/11/3
Y1 - 2008/11/3
N2 - 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.
AB - 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.
U2 - 10.1088/0264-9381/25/22/225025
DO - 10.1088/0264-9381/25/22/225025
M3 - Journal article
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
M1 - 225025
ER -