Pseudo-spectral construction of non-uniform black string solutions in five and six spacetime dimensions

Understand

In this paper, we describe in detail a scheme for the construction of highly accurate numerical solutions to Einstein's field equations in five and six spacetime dimensions corresponding to non-uniform black strings.

• The scheme consists of a sophistically adapted multi-domain pseudo-spectral method which incorporates a detailed understanding of the solution's behavior at the domain boundaries and at critical points.
• In particular, the five-dimensional case is exceedingly demanding as logarithmic terms appear which need to be treated with special care.
• The scheme resolves these issues and permits the investigation of unprecedentedly strong deformations of the black string horizon.