### Abstract

We describe canonical transformation, which links the Hamiltonian of a massive relativistic particle moving near the horizon of an extremal black hole to the conventional form of the conformal mechanics. Thus, like the non-relativistic conformal mechanics, the investigation of the particle dynamics reduces to analyzing its “spherical sector” defined by the Casimir element of the conformal algebra. We present a detailed list of such systems originating from various types of black hole configurations.

Original language | English |
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Pages (from-to) | 890-893 |

Number of pages | 4 |

Journal | Physics of Particles and Nuclei Letters |

Volume | 11 |

Issue number | 7 |

DOIs | |

Publication status | Published - 1 Jan 2014 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Atomic and Molecular Physics, and Optics
- Radiation
- Radiology Nuclear Medicine and imaging

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## Cite this

Galajinsky, A., Nersessian, A. P., & Saghatelian, A. (2014). Spherical mechanics for a particle near the horizon of extremal black hole.

*Physics of Particles and Nuclei Letters*,*11*(7), 890-893. https://doi.org/10.1134/S154747711407019X