Near horizon extremal Myers-Perry black holes and integrability of associated conformal mechanics

2017/03/31 by Tigran Hakobyan, Armen Nersessian, M. M. Sheikh-Jabbari · 1 citation
Physics and Astronomy · Mathematics · #hep-th #gr-qc #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1016/j.physletb.2017.07.028

published as Phys.Lett B 772:586-592 (2017) · 9 pages, no figures, v2: Minor changes to match the published version

arxiv created 2017/10/07 · arxiv updated 2017/10/10

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 nonequal nonvanishing 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.

Cited by

• On integrability of geodesics in near-horizon extremal geometries: Case of Myers-Perry black holes in arbitrary dimensions

Related

• A Note on the Near Horizon Charges for the Five Dimensional Myers-Perry Black Holes
• Separability of Klein-Gordon Equation on Near Horizon Extremal Myers-Perry Black Hole
• Particle motion and scalar field propagation in Myers–Perry black-hole spacetimes in all dimensions
• Dynamics of Myers-Perry black holes with almost equal angular momenta in odd dimensions
• Action-Angle Variables In Conformal Mechanics