i wanted to calculate the effective potential for a rotating, charge
free blackhole.
By effective potential i simply mean evaluationg, [dr/d(tau)]^2.
using energy at infinity,E and angular momentum,L as constants of
motion i was able to evaluate dphi/d(tau) and dt/d(tau) in terms of E
and L. I still need an expression for d(theta)/d(tau) to plug it in the
metric and get [dr/d(tau)]^2.
how do i evaluate d(theta)/d(tau)???
I wish to calculate the effective potential for all theta and NOT JUST
the equitorial plane.
PLease help.
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