Gravitational energy-momentum in small regions according to the tetrad-teleparallel expressions

Details Gravitational energy-momentum in small regions according to the tetrad-teleparallel expressions Gravitational energy-momentum in small regions according to the tetrad-teleparallel expressions

2008-11-26

arxiv.org/abs/0811.4231v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, a major revision of gr-qc/0612061 and will be published in the Chin. J. Phys

Scientific paper

The gravitational energy-momentum within a small region as determined by two
tetrad-teleparallel expressions is evaluated with the aid of an orthonormal
frame adapted to Riemann normal coordinates. We find that the gauge current
"tensor" does enjoy the highly desired and rare property of being a positive
multiple of the Bel-Robinson tensor, whereas M{\o}ller's expression does not.

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