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arxiv: 0801.3705 · v1 · submitted 2008-01-24 · 🌀 gr-qc

Gravitational energy from a combination of a tetrad expression and Einstein's pseudotensor

classification 🌀 gr-qc
keywords einsteinenergyexpressionframesgravitationalpseudotensortetradholonomic
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The energy-momentum for a gravitating system can be considered by the tetard teleparalle gauge current in orthonormal frames. Whereas the Einstein pseudotensor used holonomic frames. Tetrad expression itself gives a better result for gravitational energy than Einstein's. Inspired by an idea of Deser, we found a gravitational energy expression which enjoys the positive energy property by combining the tetrad expression and the Einstein pseudotensor, i.e., the connection coefficient has a form appropriate to a suitable intermediate between orthonormal and holonomic frames.

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