I see that in the diagram. What is the significance? What about it would change the fact that the light pulse never reaches the hoverer (thus the definition of "black hole" is satisfied)?

Well, the r=2M coordinate trajectory is the limit of a sequence of constant accelerations, experienced by the curves R=constant or r=constant, which are seen in the Rindler diagram. In this particular diagram, the constant r trajectory sequence is {r=2.0000053M,r=2.0000032M,r=2.0000017.0025MM,r=2.0000006M} These have a constant acceleration sequence of {a=1/.0025M,a=1/.002M,1/.0015M,1/.001M,1/.0005M}.

So the r=2M trajectory is

**not**a light geodesic. It is the limit of a sequence of constant accelerations. This r=2M sequence limit is shown in the Rindler diagram as a wedge shape trajectory. It looks like a less-than sign < .

Agreed?

And finally, since both the Schwarzschild and Rindler metrics are independent of time, we can make t=0 or T=0 be any arbitrary start time that we want.

Agreed?

Andrew

OK, great. Z. Ket it will be. Do you have an institution or company name that you want associated with you?