- #1
ghetom
- 17
- 0
I'm doing some work on schwarzchild orbits, and everything assumes that [tex]\theta=\pi/2[/tex] and claims that this doesn't compromise generality. It seems pretty obvious (since all the geodesics are planar or radial and the metric is spherically symmetric), but can anyone prove that [tex]\theta=\pi/2[/tex] is fully general?
here's the metric if you need it:
[tex]ds^2=fdt^2-(1/f)dr^2+r^2d\Omega^2[/tex]
where
[tex]f=1-(2m/r)[/tex]
here's the metric if you need it:
[tex]ds^2=fdt^2-(1/f)dr^2+r^2d\Omega^2[/tex]
where
[tex]f=1-(2m/r)[/tex]