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

Abstract

We consider $d>4$-dimensional space-times which are asymptotically flat at spatial infinity and show that, in the first order framework, the action principle is well-defined \emph{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 \cite{aes}. The higher dimensional analysis is in fact simpler because of absence of logarithmic and super translation ambiguities.

12 pages, no figures. Extends the 4 dimensional analysis of arXiv:0802.2527 to higher dimensions

References in corpus (3)

• Asymptotics and Hamiltonians in a First order formalism
• On the Stress Tensor for Asymptotically Flat Gravity
• Mechanics of higher-dimensional black holes in asymptotically anti-de Sitter space-times

Cited by in corpus (2)

• First-order action and Euclidean quantum gravity
• Isolated horizons, p-form matter fields, topology and the black-hole/string correspondence principle