Solution
= Solution
The Killing coordinates $t$ and $\theta$ give
$$
E=\frac{\dot t}{r^2},
\qquad
J=r^2\dot\theta.
$$
Together with the norm $\varepsilon=2\mathcal L$, these are the three constants of motion.
= Solution
The Killing coordinates $t$ and $\theta$ give
$$
E=\frac{\dot t}{r^2},
\qquad
J=r^2\dot\theta.
$$
Together with the norm $\varepsilon=2\mathcal L$, these are the three constants of motion.