Toroidal Spiral Strings in Higher-dimensional Spacetime

Physics – High Energy Physics – High Energy Physics - Theory

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4 pages, 2 figures. Proceedings of 19th Workshop in General Relativity and Gravitation in Japan (JGRG19)

Scientific paper

We report on our progress in research of separability of the Nambu-Goto equation for test strings with a symmetric configuration in a shape of toroidal spiral in a five-dimensional Kerr-AdS black hole. In particular, for a Hopf loop string which is a special class of the toroidal spirals, 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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