Constructing highly deformed non-uniform black string solutions

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Written by Michael Kalisch

We construct numerically static non-uniform black string solutions in five and six dimensions by using pseudo-spectral methods. An appropriately designed adaptation of the methods in regard of the specific behaviour of the field quantities in the vicinity of our numerical boundaries provides us with extremely accurate results, that allows us to get solutions with an unprecedented deformation of the black string horizon. Consequently, we are able to investigate in detail a critical regime within a suitable parameter diagram. In particular, we observe three clearly pronounced turning points in the curves of thermodynamic quantities, resulting in a spiral curve in the black string’s phase diagram.