# Getting infinite loop DE soln of the Schwarzschild metric in General Relativity geodesics equation

#### davidge

The system of DE

arises when using the Schwarzschild metric of General Relativity on the geodesics equation. I was trying to solve these equations for $\phi$ as a function of $r$. I followed Weinberg (Weinberg's book S&G relativity) who uses $t' = 1 / B(r)$ in his book. So now we have two equations and two unkowns. I tried to solve it for $\phi (r)$ as I said above but Mathematica keeps running indefinitely and gives no solution. I was hoping to get the same result as Weinberg does in his book. What am I doing wrong?

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#### PF_Help_Bot

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"Getting infinite loop DE soln of the Schwarzschild metric in General Relativity geodesics equation"

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