Logic of GR as mathematically derived

by grav-universe
Tags: derived, logic, mathematically
 Quote by grav-universe Let me ask this. This Wiki link has the derivation for the Schwarzschild solution. For the 3 lines contained in the link under "Using the field equations to find A(r) and B(r)" and shown below, what is each saying physically? $$\rm{4 \dot{A} B^2 - 2 r \ddot{B} AB + r \dot{A} \dot{B}B + r \dot{B} ^2 A=0}$$ $$\rm{r \dot{A}B + 2 A^2 B - 2AB - r \dot{B} A=0}$$ $$\rm{- 2 r \ddot{B} AB + r \dot{A} \dot{B}B + r \dot{B} ^2 A - 4\dot{B} AB=0}$$