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
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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 -