Hi FL028. Welcome to PPRuNe.
Airborne time should be logged in the aircraft logbooks.
There are several methods of approximating 'airborne time', (some of which, by 'coincidence' tend to minimise progress towards the next maintenance check!
) but, strictly speaking you should record the actual time between liftoff and touchdown.
In Pilot logbooks, the actual time between the first moment the aircraft moves, under it's own power, with the intention of flight, and, when it finally comes to a stop, after flight (block times) should be logged.
As with airborne time, people have found various ways to approximate 'block time', (some of which, by 'coincidence' seem to exaggerate the pilot's apparent experience!
) but actual times should be used.
MJ