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Conformally Flat FRW Metrics
Author(s) -
Masao Iihoshi,
Sergei V. Ketov,
Ai Morishita
Publication year - 2007
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.118.475
Subject(s) - friedmann–lemaître–robertson–walker metric , physics , simple (philosophy) , separable space , mathematical physics , weyl tensor , tensor (intrinsic definition) , classical mechanics , pure mathematics , theoretical physics , mathematical analysis , cosmology , quantum mechanics , geometry , riemann curvature tensor , curvature , mathematics , philosophy , epistemology
We find a new family of non-separable coordinate transformations bringing theFRW metrics into the manifestly conformally flat form. Our results are simpleand complete, while our derivation is quite explicit. We also calculate all theFRW curvatures, including the Weyl tensor.Comment: 19 pages; LaTeX; no figures; misprints corrected, a few references and short notes adde

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