English

Toroidal Spiral Strings in Higher-dimensional Spacetime

High Energy Physics - Theory 2010-03-04 v1

Abstract

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.

Cite

@article{arxiv.1003.0795,
  title  = {Toroidal Spiral Strings in Higher-dimensional Spacetime},
  author = {Takahisa Igata and Hideki Ishihara},
  journal= {arXiv preprint arXiv:1003.0795},
  year   = {2010}
}

Comments

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

R2 v1 2026-06-21T14:53:19.381Z