An extension theorem for conformal gauge singularities
We analyze conformal gauge, or isotropic, singularities in cosmological models in general relativity. Using the calculus of tractors, we find conditions in terms of tractor curvature for a local exten...
We analyze conformal gauge, or isotropic, singularities in cosmological models in general relativity. Using the calculus of tractors, we find conditions in terms of tractor curvature for a local exten...
Quantum scattering of relativistic particles in Safko–Witten spacetime
Relativistic quantum particles are considered in the background gravitational field due to a tubular matter source with an axial interior magnetic field and a vanishing exterior magnetic field, which ...
Relativistic quantum particles are considered in the background gravitational field due to a tubular matter source with an axial interior magnetic field and a vanishing exterior magnetic field, which ...
A conformal extension theorem based on null conformal geodesics
J. Math. Phys. 50, 112502 (2009); doi:10.1063/1.3239510
Published 3 November 2009
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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 Lübbe and Tod, J. Math. Phys. 50, 112501 (2009) (“An extension theorem for conformal gauge singularities,” e-print arXiv:0710.5552).
©2009 American Institute of Physics
| History: | Received 20 October 2008; accepted 3 September 2009; published 3 November 2009 |
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http://link.aip.org/link/?JMAPAQ/50/112502/1 |
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0022-2488 (print)
1089-7658 (online)
AIP
REFERENCES (16)
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