A Conformal Extension Theorem based on Null Conformal Geodesics

Details A Conformal Extension Theorem based on Null Conformal Geodesics A Conformal Extension Theorem based on Null Conformal Geodesics

2008-03-11

arxiv.org/abs/0803.1650v2

J.Math.Phys.50:112502,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1063/1.3239510

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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