The slowing down of time is actually quite technical for a black hole --- (inside a black hole, time does not stop... in fact, time becomes what is called, spacelike).

Actually the slowing down of time is actually quite simple for a black holes. Arguably, the most simple metric for a spacetime is that of a uniform gravitational field which is

ds^2 = (1 + gz/c^2)^2 dt^2 - dx^2 - dy^2 - dz^2

By the way, in what coordinate system/units did you state the Schwarzschild metric in? In my page I used MKS units (at least I think that they're called that). But you seem to be using two different systems of units.

**Note** - In my page

http://home.comcast.net/~peter.m.brown/gr/grav_red_shift.htm I made a mistake. In Eq. (5) I missed putting a square in the last sin. It reads r^2 sin theta d^2 phi. It

*should* read r^2 sin^2 theta d^2 phi

I don't expect you to understand the equation, but this describes black holes.

I doubt that anybody here, including the moderators, find it very polite when you state that your expectations is low. In fact there is no valid reason to assume the worst.

Last week I myself had to adjust my posting paterns as given by the moderators. It wouldn't be very fun for you to have to go through the same thing and risk getting

*placed on vacation* again. Sometimes we just have to take a step back and readjust out thinking and attitude.

We had discussed this kind of thing in the thread

**On the concept of relativistic mass**http://www.thenakedscientists.com/forum/index.php?topic=44036.0The [tex]2MG[/tex] you see cropping up is in fact the Horizon.

Correct.

The coefficient of [tex]2MG=r[/tex] approaches zero, ...

That is a misleading statement. [tex]2MG=r[/tex] is

*not* a coefficient, or if it is then your explanation was a bit poor in explaining yourself. In that part of this thead the topic was the gravitational field changing the speed of light. For no obviois reason you changed the subject to gravitational redschift, for no obvious reading and in not a very good way.

[tex]dt^2 \rightarrow 0[/tex] really has to do with why clocks run slower.

That expression is not the most obvious or the clearest way to explain gravitational redshift. The dt - > doesn't mean what you seem to think that it means. dt -> 0 only means that the coordinate time interval dt is approaching zero. This doesn't help your argument. The slowing of time is meant by Eq. (3) in my treatment of gravitational redshift/slowing down of time. See Eq. (3) & (4)

http://home.comcast.net/~peter.m.brown/gr/grav_red_shift.htmThe observer moving towards the black hole will never observe a difference in their clocks, , ...

That is not true. In fact if one ship wishes to observe the clock on another shift slow down then what you just showed is how it's done.

Whew!!