The Significance of FRW Metric for Cosmological Redshift

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SUMMARY

The FRW metric, associated with the Friedmann-Lemaître-Robertson-Walker cosmological model, demonstrates that as the universe expands, the frequency of photons decreases, confirming the predictions of General Relativity (GR). This phenomenon, known as cosmological redshift, was recognized shortly after the introduction of GR, although Einstein initially favored a static universe model. The inability to derive stable cosmological solutions that do not exhibit dynamic expansion serves as a strong validation of GR. Prior to observational evidence, no alternative models accurately predicted this behavior.

PREREQUISITES
  • Understanding of the Friedmann-Lemaître-Robertson-Walker (FRW) metric
  • Familiarity with General Relativity (GR) principles
  • Knowledge of cosmological redshift and its implications
  • Basic grasp of photon behavior in expanding universes
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  • Explore the implications of the FRW metric in modern cosmology
  • Study the role of cosmological redshift in observational astronomy
  • Investigate alternative cosmological models and their predictions
  • Learn about the mathematical foundations of General Relativity
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Astronomers, physicists, cosmologists, and students of General Relativity seeking to deepen their understanding of the universe's expansion and its implications for modern physics.

binbagsss
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So from a killing tensor the FRW metric is known to possess, for a massless particle we find the well known result that as the universe expands the frequency of the photons decreases . But , what does this do for gr ?
Was this known to happen before gr ?

Thanks a lot.

(I know it is used to show the universe is expanding etc but is it any sort of test for gr ? )
 
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The discovery of expansion and cosmological redshift occurred in the first decade of GR's existence. Einstein could have gone down as predicting expansion and cosmological redshift before there was any observational evidence for them except that he thought the universe 'must be' largely static, so contrived (unstable) cosmology models that had this feature (having, in private work found that natural solutions were expanding).

In any case, it is great confirmation of GR, because it is impossible to construct stable cosmological solutions that are not dynamic, with an expanding phase, in GR. Thus not finding these observation would have been a big strike against GR. There was no prior model that predicted such a thing, and no real competing model to GR for matching these features.
 

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