TY - JOUR
T1 - Action and Hamiltonians in higher-dimensional general relativity
T2 - First-order framework
AU - Ashtekar, Abhay
AU - Sloan, David
PY - 2008
Y1 - 2008
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.
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U2 - 10.1088/0264-9381/25/22/225025
DO - 10.1088/0264-9381/25/22/225025
M3 - Article
AN - SCOPUS:62549094026
SN - 0264-9381
VL - 25
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 22
M1 - 225025
ER -