Phase Structure and Chaotic Dynamics of Nonminimal Magnetic AdS Black Holes in Modified Gravity

In this study, we examine the chaotic and non-chaotic phase structure of regular non-minimal magnetic anti-de Sitter black holes through the lens of Lyapunov exponents and surface gravity. Our investigation shows that increasing the electric charge while keeping the non-minimal coupling parameter λ 1 fixed, or vice versa, results in a reduction in both the event horizon radius and surface gravity. Furthermore, our results indicate that the angular momentum L plays a more significant role in the governing of chaotic behavior than the electric charge. This is supported by the observation that higher values of L considerably increase λ 2 . κ 2 , leading to a violation of the MSS bound. In particular, an exception arises when Q = 0.4 and λ 1 = 0, where λ 2 . κ 2 remains nearly constant and low, indicating that there is no MSS bound violation in this specific case. These results enhance our understanding of chaotic geodesic motion and highlight the influence of the non-minimal coupling parameter within the context of modified gravity theories.