Black Hole Equations

I am using details from the paper "Black Hole Formation" by Oliver Just at:

http://www.mpa-garching.mpg.de/lectures/ADSEM/SS06_Just.pdf

Oliver shows what are now the accepted equations for Black Hole Formation and I am interpreting the most accurate equation here.
What caught my eye was the image for:

Magnetic Tower Model

that I thought I could provide some sort of answer where none currently exists.

In the slide below the equation takes the general form:

f(a) = f(1/x) = g (x) replacing p^2 by x

by squaring p we are making the terms real and applicable into 3D.

Continued on Page 2