No oil in the spring chamber unless it is formulated for airgun cylinder use!
Petroleum oils tend to diesel violently in the chamber on firing. Very tough on the seals, with wildly variable velocities. Not so good. Unless you WANT to wreck it.
Do a Google search for "Maccarri Feinwerkbau" and check out Maccarri's site for lubricants. He also sells replacement seals and springs, both of which you will likely be in need of.
You want moly for the seal, and tar for the spring to reduce the twanginess.
Beemans in the US, used to import and resell the FWB airguns from germany, and can still provide some parts.
I think D and L Airguns can provide lubes appropriate, but am not certain. You would have to dig around online to find their contact info, and ask them.
Cheers
Trev