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.
The Three-Dimensional BTZ Black Hole as a Cylindrical System in Four-Dimensional General Relativity
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abstract
It is shown how to transform the three dimensional BTZ black hole into a four dimensional cylindrical black hole (i.e., black string) in general relativity. This process is identical to the transformation of a point particle in three dimensions into a straight cosmic string in four dimensions.
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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.