%0 Journal Article %T A Conformal Extension Theorem based on Null Conformal Geodesics %A Christian L¨ıbbe %J Mathematics %D 2008 %I arXiv %R 10.1063/1.3239510 %X 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. %U http://arxiv.org/abs/0803.1650v2