Almost all of greater London area is Low Emission Zone, which means that older diesel cars are not allowed into the zone, or must face high fees (up to 200£ per day).
The LEZ does not apply to cars or motorcycles.
(source)
However,
Non-GB registered vehicles(...) You will need to register your vehicle with us if:
- Your vehicle meets LEZ emissions standards
(source)
I could not find any clear information. if I want to drive a car (which should be fine, if it was GB-registered) that is registered in another country, do I still have to register with Transport for London? And if I don't, what are the penalties?