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Question: Given a lagrangian in general relativity , how can I calculate equation of motion using euler lagrangian equation

Question:Given a lagrangian in general relativity , how can I calculate equation of motion using euler lagrangian equation

bikramphy 70 Maple
affine lagrangian metric physics general-relativity
September 19 2020
2

Given a lagrangian  in general relativity , how can I calculate equation of motion using euler lagrangian equation in maple software ?

the lagrangian is 

L = 1/2 g[mu,nu] diff(x[~mu], lambda) diff(x[~nu],lambda)

here lambda is the affine parameter.  and the metric is 

 

 

metric coordinate = (t,u,x,y)
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