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Symmetries of the dual metrics

1998/05/14 by Dumitru Baleanu, Baleanu, Dumitru
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9805053

10 pages,LATEX, content revised

arxiv created 2000/02/27 · arxiv updated 2009/11/30

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 gμν 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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