Bound of Lyapunov Exponent in KerrNewman Black Holes via Charged Particle
Abstract
We investigate the conjecture on the upper bound of the Lyapunov exponent for the chaotic motion of a charged particle around a KerrNewman black hole. The Lyapunov exponent is closely associated with the maximum of the effective potential with respect to the particle. We show that when the angular momenta of the black hole and particle are considered, the Lyapunov exponent can exceed the conjectured upper bound. This is because the angular momenta change the effective potential and increase the magnitude of the chaotic behavior of the particle. Furthermore, the location of the maximum is also related to the value of the Lyapunov exponent and the extremal and nonextremal states of the black hole.
 Publication:

arXiv eprints
 Pub Date:
 September 2021
 arXiv:
 arXiv:2109.07341
 Bibcode:
 2021arXiv210907341K
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 24 pages, 6 figures