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Article overview
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A family of heavenly metrics | | Y. Nutku
; M. B. Sheftel
; | | Date: |
24 May 2001 | | Subject: | gr-qc | | Abstract: | Non-invariant solutions of the Boyer-Finley equation determine exact solutions of the Einstein field equations with only one rotational Killing vector. For the case of Euclidean signature such a metric was constructed by Calderbank and Tod. Recently Martina, Sheftel and Winternitz applied the method of group foliation to the Boyer-Finley equation and reproduced the Calderbank-Tod solution together with new solutions. We point out that in the case of ultra-hyperbolic signature there exist three inequivalent forms of metric. Only one of these can be obtained by analytic continuation from the Calderbank-Tod solution whereas the other two are new. | | Source: | arXiv, gr-qc/0105088 | | Services: | Forum | Review | PDF | Favorites | |
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