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

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

1995-11-02

arxiv.org/abs/gr-qc/9511008v1

Class.Quant.Grav.13:L67-L72,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pp, LaTeX file

Scientific paper

10.1088/0264-9381/13/6/001

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.

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