Charged rotating AdS black strings show a specific-heat divergence that is interpreted as a second-order, Van der Waals-like critical point, while uncharged strings show no such criticality.
Higher dimensional charged static and rotating solutions in mimetic gravity
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abstract
We find new solutions to the Einstein-Maxwell equations in the presence of mimetic field in $ D $ dimensions, all of which are asymptotically Antide Sitter. We derive the solutions in five-dimensional spacetime, in detail. By extending the calculations to six and seven dimensions, we obtain a general form for solutions in dimensions larger than four. The results describe electrically charged static and rotating solutions, which have spherical, toroidal or cylindrical horizons. The solutions, depending on their global identifications, can be regarded as black holes, or black strings/branes. Some physical properties of solutions such as horizons, singularities as well as entropy, mass, and angular momenta of rotating solutions are also investigated.
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Thermodynamics of charged rotating black strings in extended phase space
Charged rotating AdS black strings show a specific-heat divergence that is interpreted as a second-order, Van der Waals-like critical point, while uncharged strings show no such criticality.