In the other post The escape velocity for the Schwarzschild metric. we have found the escape velocity

,

however – this was based on the limit and .

Let us return to the radial-equation for the Schwarzschild metric given by

,

where . At the metric becomes Minkowski, thus we may assume that , where . It is clear that for , then we obtain

,

so the general escape velocity becomes

.

For light we have thus

.

For matter we have the critical case thus

Here are some plots…

For (matter) we have

For (matter) we have

For (matter) we have

For (light) we have

Sofar part 2…

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