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On the Conformal forms of the Robertson-Walker metric | | M. Ibison
; | | Date: |
20 Apr 2007 | | Subject: | General Relativity and Quantum Cosmology (gr-qc) | | Abstract: | All possible transformations from the Robertson-Walker metric to metrics
conformal to the Minkowski metric are derived. It is found that the commonly
known family of transformations and associated conformal factor are not unique;
there exists another family of transformations that appears to have gone
unnoticed and which results in a different conformal factor. An additional
novel form of the conformal factor is obtained in a particular limit of the
commonly known transformations. The full set of conformal forms is presented as
a comprehensive table. A by-product of the analysis is the determination of
some interesting set-theoretical relationships between the maximally symmetric
spacetimes, the Robertson-Walker spacetimes, and functionally more general
spacetimes. | | Source: | arXiv, arxiv.0704.2788 | | Services: | Forum | Review | PDF | Favorites | |
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