A Conformal Extension Theorem based on Null Conformal Geodesics
General Relativity and Quantum Cosmology
2010-01-07 v2
Abstract
In this article we describe the formulation of null geodesics as null conformal geodesics and their description in the tractor formalism. A conformal extension theorem through an isotropic singularity is proven by requiring the boundedness of the tractor curvature and its derivatives to sufficient order along a congruence of null conformal geodesic. This article extends earlier work by Tod and Luebbe.
Cite
@article{arxiv.0803.1650,
title = {A Conformal Extension Theorem based on Null Conformal Geodesics},
author = {Christian Lübbe},
journal= {arXiv preprint arXiv:0803.1650},
year = {2010}
}
Comments
20 pages, no figures, version as published in JMP, updated references