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arXiv · hep-th/0209051

Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings

T. Wiseman
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Abstract

We describe new numerical methods to solve the static axisymmetric vacuum Einstein equations in more than four dimensions. As an illustration, we study the compactified non-uniform black string phase connected to the uniform strings at the Gregory-Laflamme critical point. We compute solutions with a ratio of maximum to minimum horizon radius up to nine. For a fixed compactification radius, the mass of these solutions is larger than the mass of the classically unstable uniform strings. Thus they cannot be the end state of the instability.

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T. Wiseman. 2002-10-22. Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings. https://doi.org/10.1088/0264-9381%2F20%2F6%2F308

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