User:Z E U S/einsteinfieldequations

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{\frac {d^{2}}{d{\tau}^{2}}}t \left( \tau \right) -1/2\,{\frac { \left( 1-g_ -g_  +g_  g_   \right)  \left( {\frac {d}{dx}}g_   \right)  \left( {\frac {d}{d\tau}}x \left( \tau \right)  \right) ^{2}}{g_  g_  g_  g_  -g_  g_  -g_  g_  +2\,g_  -g_{ {11}} g_  -g_  g_  -3+2\,g_  +2 \,g_ -g_  g_  +2\,g_  -g_  g_  }}-{\frac { \left( -g_  -g_  +1+g_  g_   \right)  \left( {\frac {d}{dx}}g_{ {22}}   \right)  \left( {\frac {d}{d\tau}}x \left( \tau \right) \right) {\frac {d}{d\tau}}y \left( \tau \right) }{g_  g_  g_  g_  -g_  g_  -g_  g_  +2\,g_  -g_  g_  -g_  g_  -3+2\,g_  +2\,g_  -g_  g_  +2\,g_  -g_  g_  }}-{\frac { \left( g_  g_  -g_  +1-g_   \right)  \left( {\frac {d}{dx}}g_   \right) \left( {\frac {d}{d\tau}}x \left( \tau \right) \right) {\frac {d}{d \tau}}z \left( \tau \right) }{g_ g_  g_  g_  -g_  g_  -g_  g_  +2\,g_  -g_{ {11}} g_  -g_  g_  -3+2\,g_  +2 \,g_ -g_  g_  +2\,g_  -g_  g_  }}+{\frac { \left( g_  g_  g_  -g_{{11} }  -g_  +2-g_   \right)  \left( {\frac {d}{dx}}g_   \right)  \left( {\frac {d}{d\tau}}x \left( \tau \right)  \right) { \frac {d}{d\tau}}t \left( \tau \right) }{g_ g_{ {22}} g_  g_  -g_  g_  -g_{{11} } g_  +2\,g_  -g_  g_  -g_{{33} } g_  -3+2\,g_  +2\,g_  -g_  g_  +2\,g_  -g_  g_  }}+1/2\,{\frac { \left( 1-g_  -g_  +g_  g_   \right)  \left( {\frac {d}{dx}}g_{ {22}}   \right)  \left( {\frac {d}{d\tau}}y \left( \tau \right) \right) ^{2}}{g_  g_  g_  g_  -g_{{11} } g_  -g_  g_  +2\,g_  -g_  g_  -g_  g_  -3+2\,g_  +2 \,g_ -g_  g_  +2\,g_  -g_  g_  }}+1/2\,{\frac { \left( 1-g_  -g_  +g_  g_   \right)  \left( {\frac {d}{dx}}g_{ {33}}   \right)  \left( {\frac {d}{d\tau}}z \left( \tau \right) \right) ^{2}}{g_  g_  g_  g_  -g_{{11} } g_  -g_  g_  +2\,g_  -g_  g_  -g_  g_  -3+2\,g_  +2 \,g_ -g_  g_  +2\,g_  -g_  g_  }}+1/2\,{\frac { \left( 1-g_  -g_  +g_  g_   \right)  \left( {\frac {d}{dx}}g_{ {44}}   \right)  \left( {\frac {d}{d\tau}}t \left( \tau \right) \right) ^{2}}{g_  g_  g_  g_  -g_{{11} } g_  -g_  g_  +2\,g_  -g_  g_  -g_  g_  -3+2\,g_  +2 \,g_ -g_  g_  +2\,g_  -g_  g_  }}=0

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