Stress-Energy-Momentum of Affine-Metric Gravity. Generalized Komar Superportential

Abstract

In case of the Einstein's gravitation theory and its first order Palatini reformulation, the stress-energy-momentum of gravity has been proved to reduce to the Komar superpotential. We generalize this result to the affine-metric theory of gravity in case of general connections and arbitrary Lagrangian densities invariant under general covariant transformations. In this case, the stress-energy-momentum of gravity comes to the generalized Komar superpotential depending on a Lagrangian density in a precise way.

12 pp, LaTeX file

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• Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. I. General Consideration
• Classical gauge gravitation theory
• Background Geometry in Gauge Gravitation Theory
• Lecture on Gauge Gravitation Theory. Gravity as a Higgs Field
• Off-Shell ADT Conserved Quantities in Palatini Gravity