Why Doesn't Dark Energy Expand Galaxies?

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Dark energy is responsible for the expansion of space, but it does not affect the space within galaxies due to the dominance of gravitational forces. While dark energy exerts a force throughout the universe, its influence is negligible in dense regions like galaxies, which remain stable and do not expand significantly. The expansion of space is minimal within these gravitationally bound systems, as the forces holding them together counteract the expansive effect of dark energy. The expansion of the universe is a result of the initial conditions set during its formation, which are still not fully understood. Overall, while space expands, the internal dynamics of galaxies prevent noticeable expansion among their constituent matter.
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andrewkirk said:
This question has no answer because 'a(t)' is a parameter of the FLRW model, which does not apply within a bound system such as a galaxy. Asking what the FLRW 'a' is inside a galaxy would be like asking what is the radius of an ellipse.

The FLRW model assumes perfect homogeneity of the universe, but a galaxy is by definition a region in which the homogeneity assumption does not apply.

The question we can ask, that does make sense within a galaxy, is:

'What effect do the factors that make the universe's expansion accelerate have within a galaxy?'

The answer to that is most likely reached via analysis of the impact of a nonzero \Lambda on the curvature of spacetime within a galaxy. My facility with tensor equations is regrettably way below the level necessary to answer that question. But it seems reasonable to be confident that the answer is not 'none whatsoever'.
Oh, yeah, the effect of dark energy on galaxies is most definitely not zero. It's small, but not zero. The effect is even measurable for large galaxy clusters:
http://en.wikipedia.org/wiki/Sachs–Wolfe_effect
 

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