TL;DR
This paper explores how the near-horizon dynamics of a charged particle around an extremal Reissner-Nordstrom black hole can be described by various conformal mechanics models, influenced by the choice of time coordinate.
Contribution
It demonstrates the dependence of conformal mechanics forms on coordinate choices in black hole near-horizon physics.
Findings
Different conformal mechanics models arise from coordinate choices.
The particle's motion near the horizon can be described by multiple conformal theories.
The study links black hole physics with conformal symmetry structures.
Abstract
We show how the motion of a charged particle near the horizon of an extreme Reissner-Nordstrom black hole can lead to different forms of conformal mechanics, depending on the choice of the time coordinate.
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