Conformal geodesics on vacuum space-times
General Relativity and Quantum Cosmology
2009-11-07 v1
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.
Cite
@article{arxiv.gr-qc/0201006,
title = {Conformal geodesics on vacuum space-times},
author = {Helmut Friedrich},
journal= {arXiv preprint arXiv:gr-qc/0201006},
year = {2009}
}