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

Pseudo-spectral construction of non-uniform black string solutions in five and six spacetime dimensions
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五、六时空维度非均匀黑弦解的伪谱构造

DOI:
10.1088/0264-9381/33/21/215005
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发表时间:
2016
影响因子:
3.5
通讯作者:
M. Ansorg
M. Ansorg
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
M. Kalisch;M. Ansorg

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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. Our scheme resolves these issues, and permits the investigation of unprecedentedly strong deformations of the black string horizon. As a consequence, we are able to study in detail the critical regime in phase diagrams displaying characteristic thermodynamic quantities such as mass and entropy. Our results show typical spiral curves in such diagrams which provide strong support for previous numerical works.
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DOI: --
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