I Gravitational Field with Dark Energy: Observable Effects?

AI Thread Summary
The discussion centers on the gravitational effects of dark energy, particularly its relationship with the cosmological constant and general relativity. It highlights that while the cosmological constant contributes to spacetime curvature, its effects are negligible on solar system scales, making detection challenging. There is a comparison between the cosmological constant and Modified Newtonian Dynamics (MOND), emphasizing that they operate in different contexts. The conversation clarifies that dark energy and dark matter are distinct concepts, with dark energy being significant only on larger cosmological scales. Ultimately, the observable effects of dark energy on matter remain minimal at smaller scales.
kodama
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how to calculate gravitational field with dark energy
since the cosmological constant observed is that there is a small amount of energy in empty space, and in general relativity anytime there is energy there is curvature and therefore gravity, how to calculate gravitational field with dark energy and does it have any observable effects on matter?

the cc is on the same order as mond ao so I wonder if somehow ao is the result of the gravity of dark energy acting on matter
 
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kodama said:
how to calculate gravitational field with dark energy and does it have any observable effects on matter?
You can easily add a cosmological constant term to the Schwarzschild solution - the result is Schwarzschild-de Sitter spacetime. However, in reality the term is so tiny that you could never hope to detect effects on the solar system scale.
kodama said:
the cc is on the same order as mond
Are you mixing up dark matter and dark energy? Dark matter and MOND are competing theories. Dark energy is only relevant on much larger scales where MOND doesn't work at all.
 
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