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We study the pseudoduality transformation on the symmetric space sigma models. We switch the Lie group-valued pseudoduality equations to Lie algebra-valued ones, which leads to an infinite number of p...
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A conformal extension theorem based on null conformal geodesics
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...

An extension theorem for conformal gauge singularities

J. Math. Phys. 50, 112501 (2009); doi:10.1063/1.3239509

Published 3 November 2009

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Christian Lübbe1,2 and Paul Tod1,3
1Mathematical Institute, Oxford OX1 3LB, United Kingdom
2Queen Mary University of London, London E1 4NS, United Kingdom
3St. John's College, Oxford OX1 3JP, United Kingdom
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 extension of the conformal structure through a cosmological singularity and prove a local extension theorem along a congruence of timelike conformal geodesics. ©2009 American Institute of Physics
History: Received 15 September 2008; accepted 8 September 2009; published 3 November 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/112501/1
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KEYWORDS and PACS

Keywords
PACS
  • 04.20.Dw
    Singularities and cosmic censorship in general relativity
  • 11.25.Hf
    Conformal field theory, algebraic structures for strings
  • 95.30.Sf
    Relativity and gravitation in astrophysics
  • 98.80.Cq
    Particle-theory and field-theory models of the early Universe
  • YEAR: 2009

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
AIP is a member of CrossRef AIP

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