Abstract
We investigate dynamics of probe particles moving in the near-horizon limit of (2N+1)-dimensional extremal Myers–Perry black hole with arbitrary rotation parameters. We observe that in the most general case with non-equal non-vanishing rotational parameters the system admits separation of variables in N-dimensional ellipsoidal coordinates. This allows us to find solution of the corresponding Hamilton–Jacobi equation and write down the explicit expressions of Liouville constants of motion.
| Original language | English |
|---|---|
| Pages (from-to) | 586-591 |
| Number of pages | 6 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 772 |
| DOIs | |
| Publication status | Published - 10 Sep 2017 |
Keywords
- Conformal mechanics
- Ellipsoidal coordinates
- Extremal black holes
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Hakobyan, T., Nersessian, A., & Sheikh-Jabbari, M. M. (2017). Near horizon extremal Myers–Perry black holes and integrability of associated conformal mechanics. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 772, 586-591. https://doi.org/10.1016/j.physletb.2017.07.028