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Encyclopedia > Critical density

In cosmology, the Big Crunch is a hypothesis that states the universe will stop expanding and start to collapse upon itself; a counterpart to the Big Bang.

If the gravitational attraction of all the matter in the observable horizon is high enough, then it could stop the expansion of the universe, and then reverse it. The universe would then contract, in about the same time as the expansion took. Eventually, all matter and energy would be compressed back into a gravitational singularity. It is meaningless to ask what would happen after this, as time would stop in this singularity as well.


For this to happen, the average density of matter in the Universe has to be so high that the overall spatial curvature of the Universe is positive, like the surface of a sphere. If the matter density is less than a certain value, called the critical density, the curvature is negative (like a hyperbolic surface, which is a mathematical manifold often compared to the form of a saddle) and gravitation will be too feeble to completely counter inertia, so that expansion will continue to slow down but never come to an end. These two cases, and the limiting case in between in which space is flat, are called the 3 Friedmann models. They assume the cosmological constant to be zero.


However, recent experimental evidence (namely the observation of distant supernovae as standard candles, and the well-resolved mapping of the cosmic microwave background) have - to most scientists' considerable surprise - shown that the expansion of the universe is not being slowed down by gravity, but instead, accelerating, suggesting that the universe will not end with a "Big Crunch", but will instead expand forever. (The evidence of an accelerating universe is considered conclusive by most cosmologists since 2002.)


In the framework of the field equations of the General Theory of Relativity, the simplest model of an accelerating expansion corresponds to a positive value of the cosmological constant, which is often attributed to the quantum vacuum itself exerting a negative pressure that repels gravitationally on large scales. More generally, the accelerating expansion is attributed to dark energy, which could be the cosmological constant, or a dynamical field with negative pressure, leading to an effective cosmological constant that could be time-varying. In such cases, it is theoretically possible that the cosmological constant need not remain positive, leaving open the possibility of a Big Crunch in a cosmic doomsday scenario. A Big Crunch is also still theoretically possible if Einstein's theory of general relativity turns out to be incorrect on large scales. The current evidence neither favors nor rules out dark energy, or modifications of general relativity, of a form that could halt or reverse an eternal expansion; it does, however set lower bounds on the soonest the universe could collapse (~ 42 billion years from now, or more than 24 billion years at the 95% confidence level, according to one group led by Andrei Linde).


The Big Crunch is also referred to as the Gnab Gib ("Big Bang" read backwards).


See also

External links

  • "Cosmic doomsday delayed" (http://www.nature.com/news/2004/041101/full/041101-15.html) (news@nature.com)
  • "Current Observational Constraints on Cosmic Doomsday" (http://arXiv.org/abs/astro-ph/0409264) (Wang, Kratochvil, Linde, and Shmakova)

  Results from FactBites:
 
Electromagnetic electron wave - Wikipedia, the free encyclopedia (364 words)
As the density increases, the phase velocity increases and the group velocity decreases until the cut-off frequency where the phase velocity is equal to the plasma frequency.
This density is known as the critical density for the angular frequency ω of that wave and is given by
As the density is further increased, the wave is evanescent until the resonance at the upper hybrid frequency ω
  More results at FactBites »


 
 

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