Admissible Lichnerowicz coordinates for the Schwarzschild metric
General Relativity and Quantum Cosmology
2007-05-23 v3
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.
Cite
@article{arxiv.gr-qc/0109031,
title = {Admissible Lichnerowicz coordinates for the Schwarzschild metric},
author = {Jose Luis Hernandez-Pastora and Jesus Martin and Eduardo Ruiz},
journal= {arXiv preprint arXiv:gr-qc/0109031},
year = {2007}
}
Comments
20 pages, Plain TeX. Corrected typos and one equation. Conclusions section has been included