Plot of the Fabric of Spacetime - Schwarzschild

fobos3
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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.
 
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