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Admissible Lichnerowicz coordinates for the Schwarzschild metric

Jose Luis Hernandez-Pastora·Jesus Martin·Eduardo Ruiz
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Abstract

Global harmonic coordinates for the complete Schwarzschild metric are found for a more general case than that addressed in a previous work by Quan-Hui Liu. The supplementary constant that appears, in addition to the mass, is related to the stress quadrupole moment of a singular energy--momentum tensor. Similar calculations are also carried out in q--harmonic coordinates.

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Jose Luis Hernandez-Pastora, Jesus Martin, Eduardo Ruiz. 2002-01-21. Admissible Lichnerowicz coordinates for the Schwarzschild metric. https://arxiv.org/abs/gr-qc/0109031

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