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Remarks on certain separability structures and their applications to general relativity

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Abstract

General results of the theory of separability for the geodesic equation in (V n, g) are applied to deduce the canonical form of a separable metric withn- 2 Killing vectors. Applications to vacuum space-times with two Killing vectors are investigated.

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Authors and Affiliations

  1. Institute of Mathematical Physics, University of Turin, Italy

    S. Benenti & M. Francaviglia

Authors
  1. S. Benenti
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  2. M. Francaviglia
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Additional information

Work sponsored by GNFM-CNR.

In [4, 5, 6] only the “strictly” Riemannian case appears. The results of use in this paper directly extend to the Lorentzian and, more generally, pseudo-Riemannian case, as will be shown in a forthcoming paper [7].

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Benenti, S., Francaviglia, M. Remarks on certain separability structures and their applications to general relativity. Gen Relat Gravit 10, 79–92 (1979). https://doi.org/10.1007/BF00757025

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