Integrability of geodesics in near-horizon extremal vanishing horizon Myers–Perry black holes
Physics of Atomic Nuclei, 2018•Springer
We study geodesics on the near horizon geometry of odd-dimensional Myers–Perry black
hole in the extremal vanishing horizon (EVH) limit. Knowing the fact that geodesics
equations on Myers–Perry black hole are integrable in ellipsoidal coordinates, we take the
near horizon limit in this coordinate system and obtain the near horizon EVH geometry and
its Killing tensors. We explicitly show that geodesics equations are integrable on the near
horizon EVH geometry ofMyers–Perry and compute the constants of motion. The resultant …
hole in the extremal vanishing horizon (EVH) limit. Knowing the fact that geodesics
equations on Myers–Perry black hole are integrable in ellipsoidal coordinates, we take the
near horizon limit in this coordinate system and obtain the near horizon EVH geometry and
its Killing tensors. We explicitly show that geodesics equations are integrable on the near
horizon EVH geometry ofMyers–Perry and compute the constants of motion. The resultant …
Abstract
We study geodesics on the near horizon geometry of odd-dimensional Myers–Perry black hole in the extremal vanishing horizon (EVH) limit. Knowing the fact that geodesics equations on Myers–Perry black hole are integrable in ellipsoidal coordinates, we take the near horizon limit in this coordinate system and obtain the near horizon EVH geometry and its Killing tensors. We explicitly show that geodesics equations are integrable on the near horizon EVH geometry ofMyers–Perry and compute the constants of motion. The resultant Killing tensors of this constants of motion matches with the Killing tensors given by taking the near-horizon limit.
Springer
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