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

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
Pages (from-to)	890-893
Number of pages	4
Journal	Physics of Particles and Nuclei Letters
Volume	11
Issue number	7
DOIs	https://doi.org/10.1134/S154747711407019X
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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author = "A. Galajinsky and Nersessian, {Armen Petrosovich} and A. Saghatelian",

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

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