Plot of the Fabric of Spacetime - Schwarzschild

[fobos3]

Hi there. I am trying to plot the fabric of spacetime caused by an object using the schwarzchild solution. The idea is to replace one of the basis of space with time. I have computed $$R_{\mu\nu}$$, $$R$$ and $$T_{\mu\nu}$$ but I'm stuck here. How do I get to the equation of the surface from here? Any help will be appreciated.

 

[A.T.]

What surface do you want to plot? This is about curved 2d-spacetime embedded in 3d:
http://www.relativitet.se/Webarticles/2001GRG-Jonsson33p1207.pdf