2020
DOI: 10.1140/epjc/s10052-020-8335-6
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Chaotic motion around a black hole under minimal length effects

Abstract: We use the Melnikov method to identify chaotic behavior in geodesic motion perturbed by the minimal length effects around a Schwarzschild black hole. Unlike the integrable unperturbed geodesic motion, our results show that the perturbed homoclinic orbit, which is a geodesic joining the unstable circular orbit to itself, becomes chaotic in the sense that Smale horseshoes chaotic structure is present in phase space.

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Cited by 12 publications
(5 citation statements)
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“…These chaotic structures can be used to explain intense continuous emissions from black hole-disk systems and provide a wide frequency range in the emitted radiation (Misra et al 2004;Guo et al 2020). The amplitude of the radiation changes over time, and these systems may also be sources of sudden bursts (Cao et al 2023).…”
Section: Exploring the Differences: Disk Dynamics Under Kerr And Egb ...mentioning
confidence: 99%
“…These chaotic structures can be used to explain intense continuous emissions from black hole-disk systems and provide a wide frequency range in the emitted radiation (Misra et al 2004;Guo et al 2020). The amplitude of the radiation changes over time, and these systems may also be sources of sudden bursts (Cao et al 2023).…”
Section: Exploring the Differences: Disk Dynamics Under Kerr And Egb ...mentioning
confidence: 99%
“…Therefore, for a/M = 0.9, unexpected behavior has been observed for these α values. These chaotic structures can be used to explain intense continuous emissions from the black hole-disk systems and provides a wide frequency range in the emitted radiation (Misra et al 2004;Guo et al 2020). The amplitude of the radiation changes over time.…”
Section: Exploring the Differences: Disk Dynamics Under Kerr And Egb ...mentioning
confidence: 99%
“…Such a deformation also affects the Heisenberg uncertainty principle (HUP), and as a result, the generalized uncertainty principle (GUP) has to be used instead of the HUP. Recently, with increasing interest, we observe that many papers examine the effect of the GUP formalism on black hole physics and thermodynamics [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]. One of the common features of these studies is the modification of the Hawking radiation.…”
Section: Introductionmentioning
confidence: 99%