Toroidal Spiral Nambu-Goto Strings around Higher-Dimensional Black Holes

Abstract

We present solutions of the Nambu-Goto equation for test strings in a shape of toroidal spiral in five-dimensional spacetimes. In particular, we show that stationary toroidal spirals exist around the five-dimensional Myers-Perry black holes. We also show the existence of innermost stationary toroidal spirals around the five-dimensional black holes like geodesic particles orbiting around four-dimensional black holes.

9 pages, 5 figures

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Cited by in corpus (9)

• Killing-Yano tensors and some applications
• Stable Bound Orbits around Black Rings
• 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