Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings

Details Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings

2002-09-05

arxiv.org/abs/hep-th/0209051v2

Class.Quant.Grav. 20 (2003) 1137-1176

Physics

High Energy Physics

High Energy Physics - Theory

48 pages, 13 colour figures; v2: references corrected

Scientific paper

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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