Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal Length Effects on Chaotic Motion of Particles around Black Hole
  Horizon   Recently, it was conjectured that the Lyapunov exponent of chaotic motion of
a particle in a black hole is universally bounded from above by the surface
gravity of the black hole. On the other hand, the minimal length appears in
various theories of quantum gravity and leads to the deformed canonical
position-momentum commutation relation. In this paper, we use the
Hamilton-Jacobi method to study effects of the minimal length on the motion of
a massive particle perturbed away from an unstable equilibrium near the black
hole horizon. We find that the minimal length effects make the particle move
faster away from the equilibrium, and hence the corresponding Lyapunov exponent
is greater than that in the usual case with the absence of the minimal length.
It therefore shows that if the minimal length effects are taken into account,
the conjectured universal bound on the Lyapunov exponent could be violated.

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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: physics