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|Title:||Conformal pure radiation with parallel rays|
|Citation:||Classical and Quantum Gravity, 2012; 29(5):055007-1-055007-15|
|Publisher:||IOP Publishing Ltd|
|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|
|Appears in Collections:||Mathematical Sciences publications|
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