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Admissible Lichnerowicz coordinates for the Schwarzschild metric

Jose Luis Hernandez-Pastora, Jesus Martin, Eduardo Ruiz

gr-qcarXiv:gr-qc/0109031

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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