Cook (154no) and Carberry (153no) batted throughout day one as England closed on 318 without loss.
But prospects of significant further progress were compromised on Thursday as forecast rain swept in.
There was no sign of a clearance in the weather as the scheduled lunch break approached.
Bad weather persisted into the afternoon, and the umpires decided to take tea at 240pm local time and then inspect at 3pm.
Playing hours could be extended by an hour to 6pm, with the start brought forward by half-an-hour to 930am on the final two days.