Hello,
I need to find the angular velocity using Schwarzschild metric.
At first I wrote the metric in general form and omitted the co-latitude:
ds2=T*dt2+R*dr2+Φ*dφ2
and wrote a Lagrangian over t variable:
L = √(T+R*(dr/dt)2+Φ*(dφ/dt)2)
now I can use the Euler–Lagrange equations for φ...