Temporal and spatial chaos in the Kerr-AdS black hole in an extended phase space
arXiv:2008.10050 · doi:10.1088/1674-1137/abe369
Abstract
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 the temporal chaos only when the perturbation amplitude is above a critical value, which involves the angular momentum . Under the spatial perturbation, however, it is found that the spatial chaos always occurs, which is independent of the perturbation amplitude.
arXiv commentTo be published in Chinese Physics C
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