Conformal geodesics on vacuum space-times

Friedrich, Helmut

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Conformal geodesics on vacuum space-times

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Friedrich, Helmut
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Friedrich, H. (2002). Conformal geodesics on vacuum space-times. Communications in Mathematical Physics, 235(3), 513-543.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5465-C

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.