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arXiv 1503.08183hep-thgr-qcmath-phmath.MP
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具有磁场的Taub-NUT as Bertrand时空

Taub-NUT as Bertrand spacetime with magnetic fields

Sumanto Chanda, Partha Guha, Raju Roychowdhury

摘要:

基于Taub-NUT与Bertrand时空的对称性,我们将其视为具有磁场的Bertrand时空。它的性质作为Bianchi-IX引力瞬子和其他相关的几何性质进行了审查。我们提供了一个简单的推导和比较的空间Killing-Yano张量推导的第一积分和相应的hyperkähler结构,并最终验证了分次李代数结构的存在性通过Schouten-Nijenhuis括号。

英文摘要:

Based on symmetries Taub-NUT shares with Bertrand spacetime, we cast it as the latter with magnetic fields. Its nature as a Bianchi-IX gravitational instanton and other related geometrical properties are reviewed. We provide an easy derivation and comparison between the spatial Killing-Yano tensors deduced from first-integrals and the corresponding hyperkähler structures and finally verify the existence of a graded Lie-algebra structure via Schouten-Nijenhuis brackets.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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