English

Symmetries of the dual metrics

General Relativity and Quantum Cosmology 2007-05-23 v3

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 gμνg_{\mu\nu} 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.

Keywords

Cite

@article{arxiv.gr-qc/9805053,
  title  = {Symmetries of the dual metrics},
  author = {Dumitru Baleanu},
  journal= {arXiv preprint arXiv:gr-qc/9805053},
  year   = {2007}
}

Comments

10 pages,LATEX, content revised