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Symmetries of the dual metrics

Dumitru Baleanu
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Abstract

In this paper the symmetries of the dual manifold were investigated. We found the conditions when the manifold and its dual admit the same Killing vectors and Killing-Yano tensors. In the case of an Einstein's metric $g_{μν}$ the corresponding equations for its dual were found. The examples of Kerr-Newman geometry and the separable coordinates in 1+1 dimensions were analyzed in details.

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Dumitru Baleanu. 2000-02-27. Symmetries of the dual metrics. https://arxiv.org/abs/gr-qc/9805053

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