 Quote by bcrowell
No, it's not correct without some further qualification, such as specifying coordinates or a frame of reference.
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You're right, I should have qualified my answer by saying that b) is the answer if "g" means "the proper acceleration of an observer who is at a constant radial coordinate r for all time". From reading the previous thread it appeared that that was the definition of "g" that had been settled on.
 Quote by bcrowell
What the OP needs to understand at this point, and doesn't seem to, is that this becomes a crucial point inside the horizon, where there are no stationary observers.
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Good point; that's often a stumbling block.