MTW 25.29 v.s. 25.38 (first formula)(adsbygoogle = window.adsbygoogle || []).push({});

Yesterday I made a quick calculation for a radially free falling observer in a Schwarzschild solution for a given r starting value both starting at rest and at escape velocity.

I realized that the ratio between those two formulas is always 3/4 Pi. But I have troubles with that because when r->infinity the two formulas should converge.

Any comments as to where my mistake lies?

MTW 25.29

[tex]1/2\,\pi \,R\sqrt {{\frac {R}{2M}}}[/tex]

MTW 25.38

[tex]-8/3\,M \left( {\frac {R}{2M}} \right) ^{3/2}[/tex]

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# MTW 25.29 v.s. 25.38 (first formula)

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