U and V in the Kruskal Diagram

[Airsteve0]

I would just like to verify whether or not the variables u and v in the Kruskal diagram are functions of t. Thanks!

 

[Bill_K]

The transformation from Schwarzschild coordinates r, t to Kruskal coordinates u and v is:

u = -4M e^-u/4M
v = 4M e^v/4M

where u = t - r*, v = t + r*, and r* = r + 2M ln|(r/2M) -1|

 

[Airsteve0]

ok, that clears things up, thanks!