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arXiv · 0704.3265

Static forms of the Robertson-Walker spacetimes

M. Ibison
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Abstract

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.

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M. Ibison. 2007-04-24. Static forms of the Robertson-Walker spacetimes. https://arxiv.org/abs/0704.3265

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