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

Abstract

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 Mller's expression does not.

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