Invariant conserved currents for gravity
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Publication:446978
DOI10.1016/J.PHYSLETB.2007.12.042zbMATH Open1246.83071arXiv0712.3551OpenAlexW2052679646MaRDI QIDQ446978
Author name not available (Why is that?)
Publication date: 8 September 2012
Published in: (Search for Journal in Brave)
Abstract: We develop a general approach, based on the Lagrange-Noether machinery, to the definition of invariant conserved currents for gravity theories with general coordinate and local Lorentz symmetries. In this framework, every vector field xi on spacetime generates, in any dimension n, for any Lagrangian of gravitational plus matter fields and for any (minimal or nonminimal) type of interaction, a current J[xi] with the following properties: (1) the current (n-1)-form J[xi] is constructed from the Lagrangian and the generalized field momenta, (2) it is conserved, d J[xi] = 0, when the field equations are satisfied, (3) J[xi]= dPi[xi] "on shell", (4) the current J[xi], the superpotential Pi[xi], and the charge Q[xi] = int J[xi] are invariant under diffeomorphisms and the local Lorentz group. We present a compact derivation of the Noether currents associated with diffeomorphisms and apply the general method to compute the total energy and angular momentum of exact solutions in several physically interesting gravitational models.
Full work available at URL: https://arxiv.org/abs/0712.3551
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