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28 March 2024
 
  » arxiv » arxiv.0704.3265

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Static forms of the Robertson-Walker spacetimes
M. Ibison ;
Date 24 Apr 2007
Subject General Relativity and Quantum Cosmology (gr-qc)
AbstractIt 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.
Source arXiv, arxiv.0704.3265
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