Letter: Parametrization of the Kerr-NUT Solution |
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| Authors: | J Gariel G Marcilhacy N O Santos |
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| Institution: | (1) Université Pierre et Marie Curie – CNRS/FRE 2460, LERMA/ERGA, Tour 22-12, 4éme étage, Boîte 142, 4 place Jussieu, 75252 Paris Cedex 05, France;(2) Laboratório Nacional de Computação Científica, 25651-070 Petrópolis RJ, Brazil;(3) Centro Brasileiro de Pesquisas Físicas, 22290-180 Rio de Janeiro RJ, Brazil |
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| Abstract: | The dragging of the Kerr-NUT solution does not tend to zero at infinity. To modify this solution in order to produce a good asymptotic behaviour we transform it by introducing two further parameters with the aid of a SU(1,1) transformation followed by a unitary transformation. By imposing a certain relation between these parameters we obtain a new solution with a good asymptotic behaviour for any value of l, the NUT parameter. The new solution corresponds to a parametrized Kerr solution and we show that l is linked to the form of its ergosphere. |
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| Keywords: | Black hole Einstein equation rotation |
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