Volume 127, Number 4, August 2019
|Number of page(s)||7|
|Published online||27 September 2019|
Analysis of motion of particles near black hole horizon under generalized uncertainty principle
1 Faculty of Physics, Shahrood University of Technology - P.O. Box: 3619995161-316, Shahrood, Iran
2 Research Institute for Astronomy and Astrophysics of Maragha (RIAAM) - P.O. Box: 55134-441, Maragha, Iran
3 Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University - Jinju 660-701, Korea
Received: 24 April 2019
Accepted: 12 August 2019
In this paper, we use the Hamilton-Jacobi method to study the behavior of a massive particle under potential due to a black hole and we also introduce the deformed canonical position-momentum commutation relation corresponding to the minimal length to discuss the quantum mechanics based on GUP in an algebraic way. Then we investigate the effects of the minimal length on the motion of a particle perturbed away from an unstable equilibrium near the black hole horizon. In both cases we obtain an equation of motion for a particle traversing a path in a plane in the cylindrical horizon case. We also compare our both analytical results. Beside we discuss the behavior of a particle and its motion path vs. the changes of black hole characteristics under different conditions.
PACS: 04.70.-s – Physics of black holes / 97.60.Lf – Black holes
© EPLA, 2019
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