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arXiv · 2008.10050

Temporal and spatial chaos in the Kerr-AdS black hole in an extended phase space

Bing Tang
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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.

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Bing Tang. 2020-08-23. Temporal and spatial chaos in the Kerr-AdS black hole in an extended phase space. https://doi.org/10.1088/1674-1137/abe369

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