The metric expansion of the Universe

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SUMMARY

The metric expansion of the Universe is a relativistic effect that cannot be measured locally, as it is only meaningful when considering the universe as a whole. Hubble's Law describes the expansion of space, indicating that distances increase proportionally with distance. The cosmological constant acts as a repulsive force, accelerating the expansion over time. For a mathematical expression of this expansion, refer to the Friedmann–Lemaître–Robertson–Walker metric.

PREREQUISITES
  • General Relativity
  • Hubble's Law
  • Cosmological Constant
  • Friedmann–Lemaître–Robertson–Walker Metric
NEXT STEPS
  • Study the implications of General Relativity on cosmic expansion
  • Explore the derivation of Hubble's Law in detail
  • Investigate the role of the cosmological constant in modern cosmology
  • Examine the Friedmann–Lemaître–Robertson–Walker metric for mathematical insights
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Astronomers, physicists, cosmologists, and anyone interested in understanding the dynamics of the Universe's expansion.

espen180
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I have a few questions ragerding this topic. Any help with either question is appreciated.

Is the metric expansion subject to relativistic effects? Will we measure the expansion of space around the Milky Way to go faster than the expansion around the Andromeda Galaxy?

How is the expansion related to the cosmological constant and Hubble's Law? Has anyone been able to derive an expression for the expansion?
 
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Is the metric expansion subject to relativistic effects?
It is an extremely relativistic effect, as it is mostly "speaking of normal things in unfamiliar coordinates". IOW: outside Gerneral Relativity, you couldn't even formulate such a concept.
Will we measure the expansion of space around the Milky Way to go faster than the expansion around the Andromeda Galaxy?
Short answer: most probably no.
Longer answer: You can't measure expansion locally, the concept is useful only globally, if you regard the universe as a whole.
How is the expansion related to the cosmological constant and Hubble's Law?
Hubble's law is simply another ord for expansion of space - distances increase proportional to distance.
The cosmological constant tends to increase the expansion with time. It is a repulsive "force".
Has anyone been able to derive an expression for the expansion?
Yes, http://en.wikipedia.org/wiki/Friedmann%E2%80%93Lema%C3%AEtre%E2%80%93Robertson%E2%80%93Walker_metric" .
 
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