期刊
CLASSICAL AND QUANTUM GRAVITY
卷 20, 期 6, 页码 1137-1175出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/20/6/308
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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 of 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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