Conformally flat FRW metrics
Masao Iihoshi, Sergei V. Ketov, Atsushi Morishita
TL;DR
This paper introduces a new family of coordinate transformations that convert Friedmann-Robertson-Walker (FRW) metrics into a conformally flat form, providing explicit derivations and comprehensive curvature calculations.
Contribution
It presents a novel set of non-separable coordinate transformations for FRW metrics, enhancing understanding of their conformal flatness.
Findings
Derived explicit coordinate transformations for FRW metrics.
Calculated all FRW curvatures, including the Weyl tensor.
Provided a complete and simple framework for conformally flat FRW metrics.
Abstract
We find a new family of non-separable coordinate transformations bringing the FRW metrics into the manifestly conformally flat form. Our results are simple and complete, while our derivation is quite explicit. We also calculate all the FRW curvatures, including the Weyl tensor.
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