- #1
Einj
- 470
- 59
Hello everyone, I would like to know if anyone knows what is the inner product for vector fields ##A_\mu## in curved space-time. Is it just:
$$
(A_\mu,A_\mu)=\int d^4x A_\mu A^\mu =\int d^4x g^{\mu\nu}A_\mu A_\nu
$$
? Do I need extra factors of the metric?
Thanks!
$$
(A_\mu,A_\mu)=\int d^4x A_\mu A^\mu =\int d^4x g^{\mu\nu}A_\mu A_\nu
$$
? Do I need extra factors of the metric?
Thanks!