# Geodesic motion in the five-dimensional Myers-Perry-AdS spacetime

@article{Grunau2017GeodesicMI, title={Geodesic motion in the five-dimensional Myers-Perry-AdS spacetime}, author={Saskia Grunau and Hendrik Neumann and Stephan Reimers}, journal={Physical Review D}, year={2017}, volume={97}, pages={044011} }

In this article we study the geodesic motion of test particles and light in the five-dimensional Myers-Perry-anti de Sitter spacetime. We derive the equations of motion and present their solutions in terms of the Weierstra{\ss} $\wp$-, $\sigma$- and $\zeta$-functions. With the help of parametric diagrams and effective potentials we analyze the geodesic motion and give a list of all possible orbit types for timelike, null and spacelike geodesics. We plot examples of the orbits and take a look at…

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## References

SHOWING 1-10 OF 91 REFERENCES

### Dynamics of test particles in the general five-dimensional Myers-Perry spacetime

- Physics
- 2014

We present the complete set of analytical solutions of the geodesic equation in the general five-dimensional Myers-Perry spacetime in terms of the Weierstrass $\wp$-, $\zeta$- and $\sigma$-functions.…

### Analytic treatment of geodesics in five-dimensional Myers-Perry space-times

- Mathematics, Physics
- 2012

We present the complete set of analytical solutions of the geodesic equation in the five-dimensional Myers-Perry space-time with equal rotation parameter in terms of the Weierstra{\ss}' elliptic and…

### Particle motion and scalar field propagation in Myers–Perry black-hole spacetimes in all dimensions

- Physics, Mathematics
- 2004

We study separability of the Hamilton–Jacobi and massive Klein–Gordon equations in the general Myers–Perry black-hole background in all dimensions. Complete separation of both equations is carried…

### Dynamics of test particles in the five-dimensional, charged, rotating Einstein-Maxwell-Chern-Simons spacetime

- Physics
- 2016

We derive the complete set of geodesic equations for massive and massless test particles of a five-dimensional, charged, rotating black hole solution of the Einstein-Maxwell-Chern-Simons field…

### Geodesic motion in equal angular momenta Myers-Perry-AdS spacetimes

- Physics
- 2015

nd that the ISCO dives below the ergosurface for black holes rotating close to extremality and merges with the event horizon exactly at extremality, in analogy with the fourdimensional Kerr case. For…

### Particle and light motion in a space-time of a five-dimensional rotating black hole

- Physics
- 2003

We study motion of particles and light in a space-time of a 5-dimensional rotating black hole. We demonstrate that the Myers-Perry metric describing such a black hole in addition to three Killing…

### SUPERSYMMETRIC ROTATING BLACK HOLES AND CAUSALITY VIOLATION

- Physics
- 1999

The geodesics of the rotating extreme black hole in five spacetime dimensions found by Breckenridge, Myers, Peet and Vafa are Liouville integrable and may be integrated by additively separating the…

### Rotation and the AdS / CFT correspondence

- Physics
- 1999

In asymptotically flat space a rotating black hole cannot be in thermodynamic equilibrium because the thermal radiation would have to be co-rotating faster than light far from the black hole. However…

### Repulsons in the Myers-Perry Family

- Physics
- 2009

In this paper, we show that curvature-regular asymptotically flat solitons with negative mass are contained in the Myers-Perry family of odd spacetime dimensions. These solitons do not have a…

### Supersymmetric rotating black hole spacetime tested by geodesics

- Physics
- 2014

We present the complete analytical solution of the geodesics equations in the supersymmetric BMPV spacetime \cite{Breckenridge:1996is}. We study systematically the properties of massive and massless…