TY - JOUR

T1 - Near horizon extremal Myers–Perry black holes and integrability of associated conformal mechanics

AU - Hakobyan, Tigran

AU - Nersessian, Armen

AU - Sheikh-Jabbari, M. M.

PY - 2017/9/10

Y1 - 2017/9/10

N2 - 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.

AB - 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.

KW - Conformal mechanics

KW - Ellipsoidal coordinates

KW - Extremal black holes

UR - http://www.scopus.com/inward/record.url?scp=85025161612&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85025161612&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2017.07.028

DO - 10.1016/j.physletb.2017.07.028

M3 - Article

AN - SCOPUS:85025161612

VL - 772

SP - 586

EP - 591

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -