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While trying to find the newtonian limit to radial geodesic I was able to find that

[tex]\frac{d^2r}{d\tau^2}=\frac{GM}{r^2}[/tex]

In the weak field limit we can naively replace [tex]\tau[/tex] by "t" and recover Newtons Law, this though does not sound very rigorous. Can some-one suggest a much systematic way.

regards,

Vaibhav