From SR to GR in an easy math (and physical) way

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lokofer
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From SR to GR in an "easy" math (and physical) way

Hello..i know that for example to go from Newtonian to SR you take:

[tex]\frac{du}{ds}=0 \rightarrow \nabla _{u} u=0[/tex]

My question is ¿is there an "easy" form to go from SR to GR in the form:

[tex]\nabla _{u} u=0 \rightarrow \nabla R_{ab} =0[/tex]
Or to get Einstein equation appart from using the Lagrangian formalism... using "Differential Geomertry" or similar...:confused: :confused:
 
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Your first claim doesn't make much sense to me. Can you clarify?
Are you trying to describe the evolution of the universe as a geodesic in some abstract space?