scholarly journals Minimal length effects on chaotic motion of particles around black hole horizon

2018 ◽  
Vol 2018 (12) ◽  
pp. 036-036 ◽  
Author(s):  
Fenghua Lu ◽  
Jun Tao ◽  
Peng Wang
2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Xiaobo Guo ◽  
Kangkai Liang ◽  
Benrong Mu ◽  
Peng Wang ◽  
Mingtao Yang

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.


1997 ◽  
Vol 55 (6) ◽  
pp. 3647-3653 ◽  
Author(s):  
Ali Chamseddine ◽  
Sergio Ferrara ◽  
Gary W. Gibbons ◽  
Renata Kallosh

2018 ◽  
Vol 98 (8) ◽  
Author(s):  
Koji Hashimoto ◽  
Keiju Murata ◽  
Norihiro Tanahashi

1997 ◽  
Vol 56 (4) ◽  
pp. 2226-2235 ◽  
Author(s):  
L. H. Ford ◽  
N. F. Svaiter

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