Galaxy counts and the expansion of the universe

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SUMMARY

The discussion centers on calculating the number of galaxies (N) within a certain distance (R) in an expanding universe. It establishes that if the universe were static, N would be proportional to R^3 due to the relationship between density and volume. However, in an expanding universe, the observed relationship between N and R must account for the finite speed of light and the increasing density of galaxies over time. This leads to a more complex interaction between N and R that requires further exploration beyond simple volume calculations.

PREREQUISITES
  • Understanding of basic cosmology concepts, including the expansion of the universe.
  • Familiarity with the relationship between density, mass, and volume.
  • Knowledge of the finite speed of light and its implications in observational astronomy.
  • Basic mathematical skills for working with equations involving volume and density.
NEXT STEPS
  • Research the implications of the finite speed of light on astronomical observations.
  • Study the Friedmann equations in cosmology to understand the dynamics of an expanding universe.
  • Explore the concept of cosmic density and its evolution over time.
  • Learn about observational techniques for measuring galaxy counts and distances in cosmology.
USEFUL FOR

Astronomers, astrophysicists, students of cosmology, and anyone interested in understanding the dynamics of galaxy distribution in an expanding universe.

bojibridge
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Homework Statement


You want to count all the galaxies out to a certain distance R(naught). If the universe were not expanding, then N (number of galaxies) would be proportional to R^3. Justify/derive.

For an expanding universe, take into account the finite time that light takes to reach us and just describe (without derivation) the relation that would be observed between N and R.


Homework Equations





The Attempt at a Solution


Is this as simple as saying that the density is mass/volume, so the more volume of space you have, the more galaxies you have? That seems to easy for this class...
 
Physics news on Phys.org
Number is equal to density times volume is fine. So if the universe were not expanding R^3 is a good factor. But if it is, as you look back in time, not only is R^3 increasing the density is increasing, isn't it?
 

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