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I'm not sure it would be wise for me to butt into this dispute between
Joel and Jack, but I'm not very wise.
Regarding where Joel wrote:
...that blow up at the
However, I must reiterate, there are no physical effects
event horizon of a Schwarzchild black hole, at least in theusual physics
sense of the words "blow up", which I interpret as loose language forthings don't happen
diverging to infinity. That does not mean interesting
at the event horizon, as several well known interestingthings do occur at
the event horizon.
I think I would have to side with Jack on this one. Although it is
certainly true that all the components of the various
curvature tensors
remain well behaved at the event horizon
Actually, for a black hole the Ricci tensor doesn't measure *anything*
because a black hole is a vacuum solution of Einstein's
equations and the
Ricci tensor for a vacuum vanishes identically. In a region
that is not a
vacuum the Ricci tensor measures a local encoding of the
stress-energy of
the matter and radiation present into the curvature of spacetime. I
suspect that what Joel means is that the *Weyl* tensor for
the black hole
measures gravitational effects since even in a vacuum the Weyl tensor
measures the tidal distortions of spacetime (which certainly *are*
present around the hole).