Re: Misinterpretation of the radial parameter in the Schwarzschild solution?

Dear Tom Roberts:

"Tom Roberts" <tjroberts137@xxxxxxxxxxxxx> wrote in message
news:vVexg.135226$dW3.16448@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx
LEJ Brouwer wrote:
....
(ii) If we do not call it a radius, do you still agree
that the area of the 2-spheres is decreasing as
t increases/decreases?

If one considers an infalling test particle, and
looks at the areas of successive spheres through
its location at successive values of its proper
time, then the areas of those 2-spheres decrease
with time, all the way down to asymptotically
zero area at the singularity at r=0.

Sorry to *** in...
If local curvature establishes local_c (just as with local "time
rate"), can we say for sure that your agreement as to the "change
in area" is correct? Cannot the area, as measured locally,
actually be increasing (or be otherwise unconstrained)?

David A. Smith


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