Stationary Rotating Strings as Relativistic Particle Mechanics

Abstract

Stationary rotating strings can be viewed as geodesic motions in appropriate metrics on a two-dimensional space. We obtain all solutions describing stationary rotating strings in flat spacetime as an application. These rotating strings have infinite length with various wiggly shapes. Averaged value of the string energy, the angular momentum and the linear momentum along the string are discussed.

20pages, 7 figures

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• Collisions of Cosmic F- and D-strings
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Cited by in corpus (14)

• Energy extraction from Kerr black holes by rigidly rotating strings
• Exactly solvable strings in Minkowski spacetime
• Dynamics of Toroidal Spiral Strings around Five-dimensional Black Holes
• 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
• Rigidly Rotating String Sticking in a Kerr Black Hole
• Membranes with a symmetry of cohomogeneity one
• Perturbations of Spacetime around a Stationary Rotating Cosmic String
• Perturbations of spiky strings in flat spacetimes
• Perturbations of spiky strings in AdS3
• Stationary Closed Strings in Five-dimensional Flat Spacetime
• Self-similar motion of a Nambu-Goto string
• Instability of stationary closed strings winding around flat torus in five-dimensional Schwarzschild spacetimes
• Perturbations of giant magnons and single spikes in $\mathbb{R}\times S^2$