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Conformal geodesics on vacuum space-times

Helmut Friedrich

gr-qcarXiv:gr-qc/0201006

Abstract

We discuss properties of conformal geodesics on general, vacuum, and warped product space-times and derive a system of conformal deviation equations. The results are used to show how to construct on the Schwarzschild-Kruskal space-time global conformal Gauss coordinates which extends smoothly and without degeneracy to future and past null infinity.

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