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

A. Galajinsky, Armen Petrosovich Nersessian, A. Saghatelian

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 languageEnglish
Pages (from-to)890-893
Number of pages4
JournalPhysics of Particles and Nuclei Letters
Issue number7
Publication statusPublished - 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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