Dynamics of Toroidal Spiral Strings around Five-dimensional Black Holes

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.

16 pages, 1 figure, minor changes, references added

References in corpus (7)

• Black Holes in Higher Dimensions
• `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
• Stationary strings and branes in the higher-dimensional Kerr-NUT-(A)dS spacetimes
• Stationary Rotating Strings as Relativistic Particle Mechanics
• Fundamental Plasmid Strings and Black Rings
• Stationary Strings in the Spacetime of Rotating Black Holes in Five-Dimensional Minimal Gauged Supergravity
• Strings in five-dimensional anti-de Sitter space with a symmetry

Cited by in corpus (11)

• String loops in the field of braneworld spherically symmetric black holes and naked sigularities
• Killing-Yano tensors and some applications
• Stable Bound Orbits around Black Rings
• Toroidal Spiral Nambu-Goto Strings around Higher-Dimensional Black Holes
• Rotating elastic string loops in flat and black hole spacetimes: stability, cosmic censorship and the Penrose process
• Scale invariance and constants of motion
• Membranes with a symmetry of cohomogeneity one
• Stationary Closed Strings in Five-dimensional Flat Spacetime
• Self-similar motion of a Nambu-Goto string
• Note on orbit space of G membranes
• Instability of stationary closed strings winding around flat torus in five-dimensional Schwarzschild spacetimes