For five and six dimensional charged Gauss-Bonnet black holes in a cavity, the paper derives the free energy, confirms the first law, and finds two parameter regions: one phase, or a van der Waals-like small-large black hole transition.
Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravity
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abstract
The holographic entanglement entropy is studied numerically in (4+1)-dimensional spherically symmetric Gauss-Bonnet AdS black hole spacetime with compact boundary. On the bulk side the black hole spacetime undergoes a van der Waals-like phase transition in the extended phase space, which is reviewed with emphasis on the behavior on the temperature-entropy plane. On the boundary, we calculated the regularized HEE of a disk region of different sizes. We find strong numerical evidence for the failure of equal area law for isobaric curves on the temperature-HEE plane and for the correctness of first law of entanglement entropy, and briefly give an explanation for why the latter may serve as a reason for the former, i.e. the failure of equal area law on the temperature-HEE plane.
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Thermodynamics and Phase Transition of a Gauss-Bonnet Black Hole in a Cavity
For five and six dimensional charged Gauss-Bonnet black holes in a cavity, the paper derives the free energy, confirms the first law, and finds two parameter regions: one phase, or a van der Waals-like small-large black hole transition.