# Toroidal spiral Nambu-Goto strings around higher-dimensional black holes

@article{Igata2010ToroidalSN, title={Toroidal spiral Nambu-Goto strings around higher-dimensional black holes}, author={Takahisa Igata and Hideki Ishihara}, journal={Physical Review D}, year={2010}, volume={82}, pages={044014} }

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 Citations

### Toroidal Spiral Strings in Higher-dimensional Spacetime

- Mathematics, Physics
- 2010

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…

### Instability of stationary closed strings winding around flat torus in five-dimensional Schwarzschild spacetimes

- PhysicsPhysical Review D
- 2018

Linear perturbations for one parameter family of stationary, closed Nambu-Goto strings winding around a flat torus in the five-dimensional Schwarzschild spacetime have been studied. It has been shown…

### Stationary Closed Strings in Five-dimensional Flat Spacetime

- Physics
- 2012

We investigate stationary rotating closed Nambu-Goto strings in five-dimensional flat spacetime. The stationary string is defined as a worldsheet that is tangent to a timelike Killing vector.…

### Rotating elastic string loops in flat and black hole spacetimes: stability, cosmic censorship and the Penrose process

- Physics
- 2017

We rederive the equations of motion for relativistic strings, that is, one-dimensional elastic bodies whose internal energy depends only on their stretching, and use them to study circular string…

### Hidden symmetries and supergravity solutions

- Physics
- 2012

The role of Killing and Killing-Yano tensors for studying the geodesic motion of the particle and the superparticle in a curved background is reviewed. Additionally, the Papadopoulos list [G.…

### Killing-Yano tensors and some applications

- Materials Science
- 2011

The role of Killing and Killing-Yano tensors for studying the geodesic motion of the particle and the superparticle in a curved background is reviewed. Additionally the Papadopoulos list [74] for…

### Cohomogeneity-one-string integrability of spacetimes

- Mathematics, PhysicsClassical and Quantum Gravity
- 2019

A classical string whose world sheet shares a one-dimensional symmetry with the spacetime is called cohomogeneity-one (C1). We propose C1-string integrability, i.e. integrability of all C1 strings in…

### Note on orbit space of G membranes

- MathematicsPhysical Review D
- 2018

The motion of test membranes on which the group $G$ of isometries of a spacetime $M$ acts has been considered in general settings. It has been shown that the configuration of Nambu-Goto membranes is…

### Scale invariance and constants of motion

- Physics, MathematicsProgress of Theoretical and Experimental Physics
- 2018

Scale invariance in the theory of classical mechanics can be induced from the scale invariance of background fields. In this paper we consider the relation between the scale invariance and the…

## References

SHOWING 1-10 OF 45 REFERENCES

### Dynamics of toroidal spiral strings around five-dimensional black holes

- Mathematics, Physics
- 2010

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 "Hopf loop" string which is a…

### Kaluza-Klein Black Holes with Squashed Horizons

- Physics
- 2006

We study geometrical structures of charged static black holes in the five-dimensional Einstein-Maxwell theory. The black holes we study have horizons in the form of squashed S 3 , and their…

### Black Holes in Higher Dimensions

- PhysicsLiving reviews in relativity
- 2008

This work discusses black-hole solutions of maximal supergravity theories, including black holes in anti-de Sitter space, and reviews Myers-Perry solutions, black rings, and solution-generating techniques.

### Rigidly Rotating Strings in Stationary Axisymmetric Spacetimes

- Physics, Mathematics
- 1996

In this paper we study the motion of a rigidly rotating Nambu - Goto test string in a stationary axisymmetric background spacetime. As special examples we consider rigid rotation of strings in a flat…

### Stationary strings near a higher-dimensional rotating black hole

- Physics
- 2004

We study stationary string configurations in a space-time of a higher-dimensional rotating black hole. We demonstrate that the Nambu-Goto equations for a stationary string in the 5D…

### Quantum Radiation from a 5-Dimensional Rotating Black Hole

- Physics
- 2003

We study a massless scalar field propagating in the background of a five-dimensional rotating black hole. We show that in the Myers-Perry metric describing such a black hole the massless field…

### Hidden symmetries of higher-dimensional rotating black holes.

- PhysicsPhysical review letters
- 2007

We demonstrate that the rotating black holes in an arbitrary number of dimensions and without any restrictions on their rotation parameters possess the same hidden symmetry as the four-dimensional…

### Geodetic Precession in Squashed Kaluza-Klein Black Hole Spacetimes

- Physics
- 2009

We investigate the geodetic precession effect of a parallelly transported spin vector along a circular geodesic in five-dimensional squashed Kaluza-Klein black hole spacetime. Then we derive the…