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

@article{Delsate2015GeodesicMI, title={Geodesic motion in equal angular momenta Myers-Perry-AdS spacetimes}, author={Terence Delsate and Jorge V Rocha and Raphael Santarelli}, journal={Physical Review D}, year={2015}, volume={92}, pages={084028} }

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 suciently massive black holes in AdS there exists a spin parameter range in which the background spacetime is stable against super-radiance and the ISCO lies inside the ergoregion. Our results for massless geodesics show that there are no stable circular null orbits outside the horizon, but there…

## 12 Citations

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## References

SHOWING 1-10 OF 45 REFERENCES

### Collapsing rotating shells in Myers-Perry-AdS 5 spacetime: A perturbative approach

- Physics
- 2014

We study gravitational perturbations sourced by a rotating test shell collapsing into five-dimensional Myers-Perry black holes in anti-de Sitter (AdS). Our attention is restricted to the case in…

### Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes

- Mathematics
- 2006

We explicitly exhibit n − 1 constants of motion for geodesics in the general D -dimensional Kerr-NUT-AdS rotating black hole spacetime, arising from contractions of even powers of the 2-form obtained…

### GRAVITATIONAL PERTURBATIONS OF HIGHER DIMENSIONAL ROTATING BLACK HOLES

- Physics
- 2006

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black…

### Geodesic stability, Lyapunov exponents, and quasinormal modes

- Physics
- 2009

Geodesic motion determines important features of spacetimes. Null unstable geodesics are closely related to the appearance of compact objects to external observers and have been associated with the…

### Stable Bound Orbits in Six-dimensional Myers-Perry Black Holes

- Physics
- 2015

The existence of stable bound orbits of test particles is one of the most characteristic properties in black hole spacetimes. In higher-dimensional black holes, due to the dependence of gravity on…

### Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric spacetimes

- Physics
- 2008

The complete analytical solutions of the geodesic equation of massive test particles in higher dimensional Schwarzschild, Schwarzschild-(anti)de Sitter, Reissner-Nordstroem and…

### Complete integrability of geodesic motion in general higher-dimensional rotating black-hole spacetimes.

- PhysicsPhysical review letters
- 2007

We explicitly exhibit n-1=[D/2]-1 constants of motion for geodesics in the general D-dimensional Kerr-NUT-AdS rotating black hole spacetime, arising from contractions of even powers of the 2-form…

### On the separability of field equations in Myers–Perry spacetimes

- Physics
- 2007

We study the separability of scalar, vector and tensor fields in five-dimensional Myers–Perry spacetimes with equal angular momenta. In these spacetimes, there exists enlarged symmetry, U(2) ≃ SU(2)…

### A scalar field condensation instability of rotating Anti-de Sitter black holes

- Physics
- 2010

Near-extreme Reissner-Nordström-anti-de Sitter black holes are unstable against the condensation of an uncharged scalar field with mass close to the Breitenlöhner-Freedman bound. It is shown that a…

### Rotating black holes in higher dimensions with a cosmological constant.

- Mathematics, PhysicsPhysical review letters
- 2004

The metric for a rotating black hole with a cosmological constant and with arbitrary angular momenta in all higher dimensions is presented and smooth compact Einstein spaces on associated S(D-2) bundles over S2 are obtained.