### 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 |

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### ASJC Scopus subject areas

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

### Cite this

*Physics of Particles and Nuclei Letters*,

*11*(7), 890-893. https://doi.org/10.1134/S154747711407019X

**Spherical mechanics for a particle near the horizon of extremal black hole.** / Galajinsky, A.; Nersessian, Armen Petrosovich; Saghatelian, A.

Research output: Contribution to journal › Article

*Physics of Particles and Nuclei Letters*, vol. 11, no. 7, pp. 890-893. https://doi.org/10.1134/S154747711407019X

}

TY - JOUR

T1 - Spherical mechanics for a particle near the horizon of extremal black hole

AU - Galajinsky, A.

AU - Nersessian, Armen Petrosovich

AU - Saghatelian, A.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84920413771&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84920413771&partnerID=8YFLogxK

U2 - 10.1134/S154747711407019X

DO - 10.1134/S154747711407019X

M3 - Article

VL - 11

SP - 890

EP - 893

JO - Physics of Particles and Nuclei Letters

JF - Physics of Particles and Nuclei Letters

SN - 1547-4771

IS - 7

ER -