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
复制标题
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
复制
发表时间:
2016
影响因子:
3.5
通讯作者:
M. Ansorg
中科院分区:
文献类型:
--
作者:
M. Kalisch;M. Ansorg
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.
登录
查看更多内容
DOI:
10.1016/j.physrep.2005.10.001
发表时间:
2004
期刊:
Physics Reports
影响因子:
--
作者:
B. Kol
通讯作者:
B. Kol
影响因子:
3.5
作者:
T. Wiseman
通讯作者:
T. Wiseman
影响因子:
5.4
作者:
M. Ammon;J. Leiber;R. Macedo
通讯作者:
M. Ammon;J. Leiber;R. Macedo
DOI:
--
发表时间:
2005
期刊:
Proceedings of the 15th Workshop on General Relativity and Gravitation 15
影响因子:
--
作者:
H.Ishihara;K.Matsuno
通讯作者:
K.Matsuno
影响因子:
5.4
作者:
Ó. J. Dias;Jorge E Santos;Benson Way
通讯作者:
Ó. J. Dias;Jorge E Santos;Benson Way