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https://hdl.handle.net/2440/73044
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Type: | Journal article |
Title: | Conformal pure radiation with parallel rays |
Author: | Leistner, T. Nurowski, P. |
Citation: | Classical and Quantum Gravity, 2012; 29(5):055007-1-055007-15 |
Publisher: | IOP Publishing Ltd |
Issue Date: | 2012 |
ISSN: | 0264-9381 1361-6382 |
Statement of Responsibility: | Thomas Leistner and Paweł Nurowski |
Abstract: | We define pure radiation metrics with parallel rays to be n-dimensional pseudo-Riemannian metrics that admit a parallel null line bundle K and whose Ricci tensor vanishes on vectors that are orthogonal to K. We give necessary conditions in terms of the Weyl, Cotton and Bach tensors for a pseudo-Riemannian metric to be conformal to a pure radiation metric with parallel rays. Then, we derive conditions in terms of the tractor calculus that are equivalent to the existence of a pure radiation metric with parallel rays in a conformal class. We also give analogous results for n-dimensional pseudo-Riemannian pp-waves. |
Rights: | © 2012 IOP Publishing Ltd |
DOI: | 10.1088/0264-9381/29/5/055007 |
Published version: | http://dx.doi.org/10.1088/0264-9381/29/5/055007 |
Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
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