mental_avenger":hr3s1cs9 said:
No, the reason for this is that if a source of light is traveling away from us at greater than c, then the light cannot travel fast enough to overcome the velocity of the source of that light.
Unfortunately, that is only
(approximately) correct in a universe where the rate of expansion has never been decerating but is constant, or accelerating. The picture is confusing when considering a rate of expansion that was initially very fast but decelerated quickly and continued to decelerate for a long time, before levelling out and starting to accelerate quite recently.
And even more unfortunately, it is not actually correct at all. There are two horizons involved here - the Hubble horizon, where a source of light recedes at c, and the
cosmological event horizon, which is
more distant, and is the
actual horizon from beyond which we can see no light. This is complicated, but is important if the rate of expansion is accelerating. The event horizon is the distance beyond the Hubble horizon that an object can emit light that will make it to the Hubble horizon before the accelerating expansion stops it! This horizon is currently 16 billion light-years away, and we will never see light here that was emitted right now, more than 16 billion light-years away, but we
will eventually see light that is emitted at 15 billion ly right now, outside of our Hubble sphere.
A lot of popular articles simplify the picture and refer just to the Hubble horizon, but if you think about it, as an object is moving away from us
at c on the Hubble horizon, light is passing that object in the other direction and so, by definition, will be inside of our Hubble horizon. Light emitted on the Hubble horizon is immediately inside it! The real event horizon is beyond the Hubble distance, and a
really very simplified way to think of it is that it is the distance where
light itself is receding from us more than c, rather than simply an object that emits light receding at c. If
light is receding from us at less than c, it might eventually reach us, as it is moving towards us just a little bit faster than that. It all depends on how the rate of expansion changes, and the distances involved.
But simply put, if the rate of expansion remains constant, then the distance to those horizons remains constant, and objects constantly pass beyond those horizons. Any light emitted just beyond the event horizon will be moving towards us at c, as the region of space it is in recedes from the Hubble horizon at a little more than c, so it cannot make any headway and will never reach us. Any light emitted just inside that distance will be in space that is receding from our hubble horizon at less than c, so it will pass that horizon and eventually reach us.
If the rate of expansion accelerates, then the horizons get closer to us. As the rate accelerates, the event horizon closes in, overtaking light that is heading towards us, putting that light forever out of our view. The rate at which all the distant galaxies pass out of view accelerates, rather than remaining constant, as it would with constant expansion.
But in a decelerating universe, the horizons
move away from us, and the faster the deceleration, the faster those horizons recede. In the early universe the rate of expansion was incredibly fast, but was also decelerating very fast too, thus the event horizon was receding and
overtaking the light emitted from galaxies that were outside of that horizon when they emitted that light. In a universe that has decelerated, like ours did for 7 billion years or so, it is possible to see light that was emitted from objects that were beyond that horizon when they emitted that light.
The rate of expansion has only been accelerating for the past 5 billion years or so, and the rate of expansion today is nothing like as fast as it was in the early universe. For a long time, the event horizon was receding, letting the light from galaxies with apparently superluminal recession speeds proceed into our Hubble Sphere. The edge of the Hubble sphere has a comoving distance of 14 billion ly and the event horizon has a comoving distance of 16 billion ly, whereas the particle horizon, the most distant (in time) place from which we have received photons, has a comoving distance of over 46 billion ly.
You can find out more about everything I have said above in the following paper:
Expanding Confusion: common misconceptions of cosmological horizons and the superluminal expansion of the Universe
We use standard general relativity to illustrate and clarify several common misconceptions about the expansion of the Universe. To show the abundance of these misconceptions we cite numerous misleading, or easily misinterpreted, statements in the literature. In the context of the new standard Lambda-CDM cosmology we point out confusions regarding the particle horizon, the event horizon, the ``observable universe'' and the Hubble sphere (distance at which recession velocity = c). We show that we can observe galaxies that have, and always have had, recession velocities greater than the speed of light. We explain why this does not violate special relativity and we link these concepts to observational tests. Attempts to restrict recession velocities to less than the speed of light require a special relativistic interpretation of cosmological redshifts. We analyze apparent magnitudes of supernovae and observationally rule out the special relativistic Doppler interpretation of cosmological redshifts at a confidence level of 23 sigma.
Finally, here is a rough little animation that might help
(or might not!) It shows the recession of the particle horizon at the top, a high redshift galaxy in the middle and a galaxy that was receding at c at the bottom. Our point of view is on the right hand side, and the little white dashes represent the photons on our light-cone (the history of the light we currently see). The top and middle photons are initially outside of our Hubble horizon until they pass the galaxy that is receding at c, when it emits its photon.
Have fun!