Redshift: Difference between revisions

===Extragalactic observations===

 

 

The most distant objects exhibit larger redshifts corresponding to the [[Hubble flow]] of the [[universe]]. The largest-observed redshift, corresponding to the greatest distance and furthest back in time, is that of the [[cosmic microwave background]] radiation; the [[Hubble's law#Redshift velocity|numerical value of its redshift]] is about {{math|''z'' {{=}} 1089}} ({{math|''z'' {{=}} 0}} corresponds to present time), and it shows the state of the universe about 13.8 billion years ago,<ref>{{cite web

[[Gravitation]]al interactions of galaxies with each other and clusters cause a significant [[variance|scatter]] in the normal plot of the Hubble diagram. The [[peculiar velocity|peculiar velocities]] associated with galaxies superimpose a rough trace of the [[mass]] of [[virial theorem|virialized objects]] in the universe. This effect leads to such phenomena as nearby galaxies (such as the [[Andromeda Galaxy]]) exhibiting blueshifts as we fall towards a common [[barycenter]], and redshift maps of clusters showing a [[fingers of god]] effect due to the scatter of peculiar velocities in a roughly spherical distribution.<ref name="Peebles-1993"/> This added component gives cosmologists a chance to measure the masses of objects independent of the [[mass-to-light ratio]] (the ratio of a galaxy's mass in solar masses to its brightness in solar luminosities), an important tool for measuring [[dark matter]].<ref>{{cite book | first1=James | last1=Binney | first2=Scott | last2=Treimane | title=Galactic dynamics|publisher=Princeton University Press | isbn=978-0-691-08445-9 | date=1994 }}</ref>{{Page needed|date=March 2023}}

 

 

The Hubble law's linear relationship between distance and redshift assumes that the rate of expansion of the universe is constant. However, when the universe was much younger, the expansion rate, and thus the Hubble "constant", was larger than it is today. For more distant galaxies, then, whose light has been travelling to us for much longer times, the approximation of constant expansion rate fails, and the Hubble law becomes a non-linear integral relationship and dependent on the history of the expansion rate since the emission of the light from the galaxy in question. Observations of the redshift-distance relationship can be used, then, to determine the expansion history of the universe and thus the matter and energy content.{{cn|date=March 2023}}

While it was long believed that the expansion rate has been continuously decreasing since the Big Bang, observations beginning in 1988 of the redshift-distance relationship using [[Type Ia supernova]]e have suggested that in comparatively recent times the expansion rate of the universe has [[Accelerating expansion of the universe|begun to accelerate]].<ref>{{cite web|url=https://www.nobelprize.org/uploads/2019/05/popular-physicsprize2011.pdf |title=The Nobel Prize in Physics 2011: Information for the Public |website=nobelprize.org |access-date=2023-06-13}}</ref>

 

 

:<math>\text{ageAtRedshift}(z) = \int_z^{\infty} \frac{1}{(1 + z') \cdot \sqrt{\Omega_{\Lambda} + \Omega_{m} \cdot (1 + z')^3}} \, dz' \cdot \frac{977.8}{H_0}</math>