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 | |
| 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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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