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

摘要

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