How to set correctly the initial conditions with Infinity?

I have two functions given by the following differential equation system:

eqn={
 T''[t] == (2 m)/(2 R[t] (R[t] - 2 m)) T'[t] R'[t],
 R''[t] == (2 m (R[t] - 2 m))/R[t]^3 T'[t] T'[t] - (2 m)/(2 R[t] (R[t] - 2 m)) R'[t]^2
 }

This must be solved with NDSolve since they are too complicated, the initial conditions are R'[0]==0,R[0]==Infinity and T[0]==0,T'[0]==1

My question is about the Infinity in the initial conditions: how to correctly impose it?

In the above equations m=10.