Parallel-propagated frame along null geodesics in higher-dimensional black hole spacetimes
| Autor: | Kubiznak, David, Frolov, Valeri P., Krtous, Pavel, Connell, Patrick |
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| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | Phys.Rev.D79:024018,2009 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.79.024018 |
| Popis: | In [arXiv:0803.3259] the equations describing the parallel transport of orthonormal frames along timelike (spacelike) geodesics in a spacetime admitting a non-degenerate principal conformal Killing-Yano 2-form h were solved. The construction employed is based on studying the Darboux subspaces of the 2-form F obtained as a projection of h along the geodesic trajectory. In this paper we demonstrate that, although slightly modified, a similar construction is possible also in the case of null geodesics. In particular, we explicitly construct the parallel-transported frames along null geodesics in D=4,5,6 Kerr-NUT-(A)dS spacetimes. We further discuss the parallel transport along principal null directions in these spacetimes. Such directions coincide with the eigenvectors of the principal conformal Killing-Yano tensor. Finally, we show how to obtain a parallel-transported frame along null geodesics in the background of the 4D Plebanski-Demianski metric which admits only a conformal generalization of the Killing-Yano tensor. Comment: 17 pages, no figures |
| Databáze: | arXiv |
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