arXiv · gr-qc/9504027
Rotating Dilaton Black Holes
Abstract
We consider the axially symmetric coupled system of gravitation, electromagnetism and a dilaton field. Reducing from four to three dimensions, the system is described by gravity coupled to a non-linear $σ$-model. We find the target space isometries and use them to generate new solutions. It seems that it is only possible to generate rotating solutions from non-rotating ones for the special cases when the dilaton coupling parameter $a=0, \pm \sqrt{3}$. For those particular values, the target space symmetry is enlarged.
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Bjørn Jensen, Ulf Lindström. 1995-04-19. Rotating Dilaton Black Holes. https://doi.org/10.1103/physrevd.52.3543
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