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Old 03-May-2008, 01:06 AM
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publius publius is offline
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Grant,

I'm certain Rindler wrote that before the Cosmological Constant came back in the forefront of the cosmological consciousness. What he says is certainly true for a non-Lambda expansion, the "regular" FLRW (if I got the order right) expansion.

However, add Lambda in, and you get SdS. In that paper about lensing and gravitational lensing, Rindler uses SdS for his calculations and does mention that the time-like (non-null) geodesics are perturbed by Lamdba. It's just the null ones that are the same in the coordinates as they are in Schwarzschild.

So I think we can take Rindler himself using SdS for calculations of the effect of lambda on distant gravitational lensing as evidence that Rindler agrees SdS is the one to use when Lamdba is afoot.

The component of 'g' due to Lamdba is vanishingly small on the solar system, and even galactic scales. It's only ~10^-25 m/s^2 at 1AU.

The Newtonian limit paints a picture of space being filled with a repulsive negative mass density proportional to Lambda. So for the solar system, you imagine everything immersed in the ever so small negative mass density "soup".

Without Lambda, there is no local "negative mass soup".

-Richard
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