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arXiv · 0812.2336

Improved generating technique for D=5 supergravities and squashed Kaluza-Klein Black Holes

Dmitri V. Gal'tsov·Nikolai G. Scherbluk
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Abstract

Recently we suggested a solution generating technique for five-dimensional supergravity with three Abelian vector fields based on the hidden SO(4,4) symmetry of the three-dimensionally reduced theory. This technique generalizes the $G_{2(2)}$ generating technique developed earlier for minimal 5D supergravity (A. Bouchareb, G. Clément, C-M. Chen, D. V. Gal'tsov, N. G. Scherbluk, and Th. Wolf, Phys. Rev. D {\bf 76}, 104032 (2007)) and provides a new matrix representation for cosets forming the corresponding sigma-models in both cases. Here we further improve these methods introducing a matrix-valued dualisation procedure which helps to avoid difficulties associated with solving the dualisation equations in the component form. This new approach is used to generate a five-parametric rotating charged Kaluza-Klein black hole with the squashed horizon adding one parameter more to the recent solution by Tomizawa, Yasui and Morisawa which was constructed using the previous version of the $G_{2(2)}$ generating technique.

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Dmitri V. Gal'tsov, Nikolai G. Scherbluk. 2008-12-12. Improved generating technique for D=5 supergravities and squashed Kaluza-Klein Black Holes. https://doi.org/10.1103/physrevd.79.064020

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