Conformal Yano-Killing tensors for space-times with cosmological constant
General Relativity and Quantum Cosmology
2018-10-29 v3
Abstract
We present a new method for constructing conformal Yano-Killing tensors in five-di\-men\-sio\-nal Anti-de Sitter space-time. The found tensors are represented in two different coordinate systems. We also discuss, in terms of CYK tensors, global charges which are well defined for asymptotically (five-dimensional) Anti-de Sitter space-time. Additionally in Appendix we present our own derivation of conformal Killing one-forms in four-dimensional Anti-de Sitter space-time as an application of the Theorem presented in the paper.
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Cite
@article{arxiv.1712.07433,
title = {Conformal Yano-Killing tensors for space-times with cosmological constant},
author = {Paweł Czajka and Jacek Jezierski},
journal= {arXiv preprint arXiv:1712.07433},
year = {2018}
}
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27 pages