paper

A Conformal Extension Theorem based on Null Conformal Geodesics

arXiv:0803.1650 · doi:10.1063/1.3239510

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.

20 pages, no figures, version as published in JMP, updated references

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