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arXiv · 0803.1650

A Conformal Extension Theorem based on Null Conformal Geodesics

Christian Lübbe
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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.

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Christian Lübbe. 2009-11-19. A Conformal Extension Theorem based on Null Conformal Geodesics. https://doi.org/10.1063/1.3239510

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