I know formalism of Euler_Lagrange derivatives:

enter image description here

which $L$ here is a Lagrangian density.

now I wonder how can I make such a form as below for any Lagrangian density which is a function of metric and its first and second derivatives?

enter image description here

My main problem is transforming the first two terms of Euler_Lagrange derivatives formalism to this shape.

  • $\begingroup$ There is a cool derivation of almost the same in Carroll's book on GR... $\endgroup$ – user192234 Jul 19 at 9:46

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.