Quasi-linear coordinates in general relativity
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An extension of the Jost and Karcher coordinates to the relativistic space-time is studied. The domain and Hessian of these extended coordinates are bounded by functions vanishing if the space-time is flat. The quasi-linearity property is analysed in the class of space-times obtained by Tzanakis which generalize the Robertson-Walker model. The transformation of normal Fermi coordinates into quasi-linear coordinates is obtained. Finally, the approximate position vector fields defined using Jost-Karcher coordinates and normal Fermi coordinates are compared.
PACS04.20 General relativity
PACS02.40 Geometry, differential geometry, and topology
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- Synge J. L.,Relativity: the General Theory (North-Holland, Amsterdam) 1960.Google Scholar