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Weinberg's energy-momentum pseudotensor for Schwarzschild field

A. I. Nikishov
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Abstract

Weinberg's energy-momentum pseudotensor is obtained for Schwarzschild metric in harmonic coordinates. On the horizon it possesses unintegrable singularities. For this reason the total energy of a collapsar can't be obtained by integrating energy density over the system's volume. The implication for gravity theories is noted. A thought on how to choose unique energy-momentum tensor is given.

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A. I. Nikishov. 2000-02-10. Weinberg's energy-momentum pseudotensor for Schwarzschild field. https://arxiv.org/abs/gr-qc/0002038

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