Light rays in the schwarzschild metric satisfy the differential equation(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\frac {d^2u} {d\phi^2}+u=3Mu^2

[/tex]

u=1/r

I want to show that there is closed orbits with constant radius and also calculate the radius of the orbits as a function of the Schwarzchild radius.

Can anyone help me with this? Or give me some hits?

As simple as possible plz.

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# Schwarzschild metric

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