arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0704.3265gr-qc
收藏

Robertson-Walker时空的静态形式

Static forms of the Robertson-Walker spacetimes

M. Ibison

摘要:

结果表明,只有极大对称时空可以用罗伯逊-沃克形式和静态形式来表示-没有其他静态形式的罗伯逊-沃克时空。最大对称时空度规的所有可能的静态形式都以表格的形式呈现。这些发现被推广到功能上更一般的时空:研究表明,最大对称时空也是唯一可以以正交时间各向同性形式和静态形式书写的时空。

英文摘要:

It is shown that only the maximally-symmetric spacetimes can be expressed in both the Robertson-Walker form and in static form - there are no other static forms of the Robertson-Walker spacetimes. All possible static forms of the metric of the maximally-symmetric spacetimes are presented as a table. The findings are generalized to apply to functionally more general spacetimes: it is shown that the maximally symmetric spacetimes are also the only spacetimes that can be written in both orthogonal-time isotropic form and in static form.

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。

↑