Based on the Melnikov method, we investigate chaotic behaviors in the extended thermodynamic phase space for a slowly rotating Kerr-AdS black hole under temporal and spatial perturbations. Our results show that the temporal perturbation coming from a thermal quench of the spinodal region in the phase diagram may cause temporal chaos only when the perturbation amplitude is above a critical value, which involves the angular momentum J. Under the spatial perturbation, however, it is found that spatial chaos always occurs, independent of the perturbation amplitude.

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扩展相空间中Kerr-AdS黑洞的时空混沌 国家自然科学基金项目(11604121, 11875126)

基于 Melnikov 方法，我们研究了时空扰动下缓慢旋转的 Kerr-AdS 黑洞在扩展热力学相空间中的混沌行为。我们的结果表明，仅当扰动幅度高于临界值时，相图中旋节线区域的热猝灭产生的时间扰动可能会导致时间混乱，这涉及角动量J。然而，在空间扰动下，发现空间混沌总是发生，与扰动幅度无关。