The Significance of FRW Metric for Cosmological Redshift

binbagsss
Messages
1,291
Reaction score
12
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 ? )
 
Physics news on Phys.org
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.
 
OK, so this has bugged me for a while about the equivalence principle and the black hole information paradox. If black holes "evaporate" via Hawking radiation, then they cannot exist forever. So, from my external perspective, watching the person fall in, they slow down, freeze, and redshift to "nothing," but never cross the event horizon. Does the equivalence principle say my perspective is valid? If it does, is it possible that that person really never crossed the event horizon? The...
In this video I can see a person walking around lines of curvature on a sphere with an arrow strapped to his waist. His task is to keep the arrow pointed in the same direction How does he do this ? Does he use a reference point like the stars? (that only move very slowly) If that is how he keeps the arrow pointing in the same direction, is that equivalent to saying that he orients the arrow wrt the 3d space that the sphere is embedded in? So ,although one refers to intrinsic curvature...
So, to calculate a proper time of a worldline in SR using an inertial frame is quite easy. But I struggled a bit using a "rotating frame metric" and now I'm not sure whether I'll do it right. Couls someone point me in the right direction? "What have you tried?" Well, trying to help truly absolute layppl with some variation of a "Circular Twin Paradox" not using an inertial frame of reference for whatevere reason. I thought it would be a bit of a challenge so I made a derivation or...
Back
Top