Hubble volume
In cosmology, the Hubble volume, or Hubble sphere, is the region of the Universe surrounding an observer beyond which objects recede from the observer at a rate greater than the speed of light, due to the expansion of the Universe.[1]
The comoving radius of the Hubble sphere is
, where
is the speed of light and
is the Hubble constant. More generally, the term "Hubble volume" can be applied to any region of space with a volume of order
.
The term "Hubble volume" is also frequently (but mistakenly) used as a synonym for the observable universe; the latter is larger than the Hubble volume.[2][3]
Contents |
[edit] Expansion of the universe changed
The distance
is known as the "Hubble length". It is equal to 13.9 billion light years in the standard cosmological model, similar to but somewhat larger than
times the age of the universe. This is because
gives the age of the universe by a backward extrapolation which assumes that the recession speed of each galaxy has been constant since the Big Bang. In theory, recession speeds initially decelerate due to gravity, and are now accelerating due to dark energy, so that
is only an approximation to the true age.
[edit] Hubble limit
The boundary of the Hubble volume is known as the "Hubble limit". Per Hubble's law, objects at the Hubble limit have an average comoving speed of c relative to an observer on the Earth. This is significant, because, in a universe in which the Hubble parameter was constant, light emitted at the present time by objects outside the Hubble limit could never be seen by an observer on the Earth. However, the Hubble "constant" is not constant. In a decelerating Friedmann universe, the Hubble sphere expands faster than the Universe and its boundary overtakes light emitted by receding galaxies. In an accelerating universe, the Hubble sphere expands more slowly than the Universe, and bodies move out of the Hubble sphere.[1] So the Hubble limit need not define the cosmological event horizon (that is, the boundary separating events visible at some time or other and those that are never visible[4]), because (depending upon the cosmological model) light emitted at earlier times by objects outside the Hubble sphere still may eventually arrive inside the sphere and be seen by us.[2] If, as is inferred from current observations, the expansion of the universe is in fact accelerating,[5] then at a later time, some objects within the Hubble limit no longer will be observed (by us) as they are today.
[edit] See also
[edit] References
- ^ a b Edward Robert Harrison (2003). Masks of the Universe. Cambridge University Press. p. 206. ISBN 0521773512. http://books.google.com/?id=tSowGCP0kMIC&pg=PA206.
- ^ a b For a discussion of why objects can be seen that are outside the Hubble sphere, see TM Davis & CH Linewater (2003). "Expanding Confusion: common misconceptions of cosmological horizons and the superluminal expansion of the universe". arXiv:astro-ph/0310808.
- ^ For an example of mistaken usage, see Max Tegmark (2004). "Parallel Universes". In Barrow, J. D.; Davies, J. D.; Harper, C. L.. Science and Ultimate Reality: From Quantum to Cosmos. Cambridge University Press. pp. 459ff. ISBN 052183113X. http://books.google.com/?id=K_OfC0Pte_8C&pg=PA459.
- ^ Edward Robert Harrison (2000). Masks of the Universe. Cambridge University Press. p. 439. ISBN 052166148X. http://books.google.com/?id=-8PJbcA2lLoC&pg=PA439.
- ^ John L Tonry et al (2003). "Cosmological Results from High-z Supernovae". Astrophys J 594: 1. arXiv:astro-ph/0305008. Bibcode 2003ApJ...594....1T. doi:10.1086/376865.