- #1
Physicist97
- 31
- 4
Hello! Given a metric in terms of the Veirbein, ##g_{\mu\nu}=e^{a}_{\mu}e^{b}_{\nu}{\eta}_{ab}## , how would you go about varying it with respect to ##e^{a}_{\mu}## ? I know that ##{\delta}g_{\mu\nu}={\delta}e^{a}_{\mu}e^{b}_{\nu}{\eta}_{ab}+e^{a}_{\mu}{\delta}e^{b}_{\nu}{\eta}_{ab}## , with ##{\delta}{\eta}_{ab}=0## . Then I would divide both sides by ##{\delta}e^{a}_{\mu}## , but that leaves me with the term ##{\frac{{\delta}e^{b}_{\nu}}{{\delta}e^{a}_{\mu}}}## . What would I do with that? Thanks for any help :)