Journal Article

Cosmological redshift in Friedmann–Robertson–Walker metrics with constant space–time curvature

Fulvio Melia

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 422, issue 2, pages 1418-1424
Published in print May 2012 | ISSN: 0035-8711
Published online April 2012 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2012.20714.x
Cosmological redshift in Friedmann–Robertson–Walker metrics with constant space–time curvature

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Cosmological redshift z grows as the Universe expands and is conventionally viewed as a third form of redshift, beyond the more traditional Doppler and gravitational effects seen in other applications of general relativity. In this paper, we examine the origin of redshift in the Friedmann–Robertson–Walker (FRW) metrics with constant space–time curvature, and show that – at least for the static space–times – the interpretation of z as due to the ‘stretching’ of space is coordinate dependent. Namely, we prove that redshift may also be calculated solely from the effects of kinematics and gravitational acceleration. This suggests that its dependence on the expansion factor is simply a manifestation of the high degree of symmetry in FRW, and ought not be viewed as evidence in support of the idea that space itself is expanding.

Keywords: cosmological parameters; cosmology: observations; cosmology: theory; distance scale

Journal Article.  4812 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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