Why doesn't orbital speed reverse which object appears more massive?

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PeterDonis said:
Even though the density and curvature are infinite there?

Yes.
 
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bcrowell said:
Yes.

Hmm...okay, at least I'm clear about your position. I don't think it's a very common position to take (as I understand it, the "standard" position in GR is that singularities, such as the initial singularity of the FRW models and the r = 0 singularity of the Schwarzschild interior, are a sign that the theory breaks down, and a better theory is needed to cover such cases--presumably some kind of quantum gravity theory), but in the absence of any actual experimental evidence concerning singularities, I can't say it's ruled out.