A new class of asymptotically flat stationary axisymmetric vacuum gravitational fields |
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Authors: | W. Dietz |
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Affiliation: | (1) Institut für Astronomie und Astrophysik der Universität Würzburg, Am Hubland, 8700 Würzburg, Germany |
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Abstract: | We present the full four-dimensional metric for a stationary axisymmetric solution of the vacuum Einstein equations related to the Ernst potential which we obtain by application of anarbitrary number of rank-zero HKX transformations to the general static Weyl solution. The metric function is determined in a completely algebraically way. We perform a suitable Ehlers transformation to ensure asymptotic flatness and give the expression for the total mass of this asymptotically flat solution by analyzing the behavior of the solution on the positive z axis. |
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