Eur. Phys. J. C (2020) 80: 745
https://doi.org/10.1140/epjc/s10052-020-8335-6

Regular Article - Theoretical Physics

Chaotic motion around a black hole under minimal length effects

¹ Mechanical and Electrical Engineering School, Chizhou University, Chizhou, 247000, People’s Republic of China
² Physics Teaching and Research section, College of Medical Technology, Chengdu University of Traditional Chinese Medicine, Chengdu, 611137, People’s Republic of China
³ Center for Theoretical Physics, College of Physics, Sichuan University, Chengdu, 610064, People’s Republic of China
⁴ Department of Physics, University of California at Berkeley, Berkeley, CA, 94720, USA

^* e-mail: benrongmu@cdutcm.edu.cn

Received: 24 March 2020
Accepted: 9 August 2020
Published online: 17 August 2020

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.