Near horizon extremal Myers–Perry black holes and integrability of associated conformal mechanics
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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Elsevier
2017-09-01
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Series: | Physics Letters B |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317305841 |
Summary: | 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. |
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ISSN: | 0370-2693 1873-2445 |