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arXiv · 0911.5549

Dynamics of Toroidal Spiral Strings around Five-dimensional Black Holes

Takahisa Igata·Hideki Ishihara
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Abstract

We examine the separability of the Nambu-Goto equation for test strings in a shape of toroidal spiral in a five-dimensional Kerr-AdS black hole. In particular, for a `{\it Hopf loop}\rq string which is a special class of the toroidal spiral strings, we show the complete separation of variables occurs in two cases, Kerr background and Kerr-AdS background with equal angular momenta. We also obtain the dynamical solution for the Hopf loop around a black hole and for the general toroidal spiral in Minkowski background.

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Takahisa Igata, Hideki Ishihara. 2009-12-09. Dynamics of Toroidal Spiral Strings around Five-dimensional Black Holes. https://doi.org/10.1103/physrevd.81.044024

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