Metric Based on Cosmological Principle: Uniqueness and Implicit Assumptions

Question

Referee this paper: vixra:1511.0047 by Sudesh Kumar

Please use comments to point to previous work in this direction, and reviews to referee the accuracy of the paper. Feel free to edit this submission to summarise the paper (just click on edit, your summary will then appear under the horizontal line)

(Is this your paper?)

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The paper proposes a "further generalisation" to the FLRW metric by adding a scale factor to the co-ordinate time, and suggests that this has to do with changing atomic radii.

Comments

Minor comment: the paper conflates "the size of atoms" with a fundamental length scale of sorts. (I've deleted my earlier review, by the way - you're right, I didn't read the paper carefully enough and thought that R was a constant scale factor. Of course, this gives rise to a whole new issue with the metric.)

Answer 1

The metric proposed in the paper obviously doesn't exhibit time-symmetry, since the terms in the metric are dependent on the co-ordinate time, e.g. the time-dilation factor is equal to \(1/R(t)\) if we ignore the \(d\Sigma\) term. I don't think this is a very elegant result, but nevertheless, I'm curious to know about the energy-momentum distribution that would give rise to this metric.

(I initially wrote this as a comment, but converted it into a review once I figured that the paper does present the metric as something of physical value.)