Physics of Particles and Nuclei Letters

, Volume 11, Issue 7, pp 890–893

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


DOI: 10.1134/S154747711407019X

Cite this article as:
Galajinsky, A., Nersessian, A. & Saghatelian, A. Phys. Part. Nuclei Lett. (2014) 11: 890. doi:10.1134/S154747711407019X


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.

Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Tomsk Polytechnic UniversityTomskRussia
  2. 2.Yerevan State UniversityYerevanArmenia

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