Conformal geodesics on vacuum space-times

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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Scientific paper

10.1007/s00220-003-0794-8

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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