How to raise and lower indices of gamma matrix in curved spacetime? Do we raise and lower the index of gamma matrix with $ g_{\mu \nu} $?


Gamma matrices with flat (curved) indices are raised & lowered with the flat (curved) metric, respectively.

  • $\begingroup$ Bigger question would be how to construct gamma matrices with curved indices.... $\endgroup$
    – lalala
    Jul 3 '18 at 8:24
  • 1
    $\begingroup$ Yes. One should then multiply with the vielbein (or its inverse). $\endgroup$
    – Qmechanic
    Jul 3 '18 at 8:55

Your Answer

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

Not the answer you're looking for? Browse other questions tagged or ask your own question.