The fourth day of the Test started nearly four hours late due to rain, with the home team resuming on 236 for six in reply to India's thumping first innings 622 for seven declared.
Play will commence half an hour earlier (4:30 am IST) on the remaining two days to make for the lost time.
With a series-levelling win out of the question, Australia will be hoping to hold on for a draw on day five of the final Test against India at the SCG.
Mohammed Shami immediately took the second new ball and removed Pat Cummins's off stump with the sixth delivery of the day to dismiss his fellow paceman for 25.
But play didn't resume at all once the scheduled tea break was over, as bad light hampered proceedings once again.
Australia have never gone through a four-Test home series without at least one batsman reaching triple figures, but until Monday Marcus Harris has the top score with just 79.
India declared their first innings on 622 for seven.
The third session did not happen due to bad light and then light rain forced the umpires to call off play.
India, needing only to avoid defeat to win the series, denied Australia any real possibility of a victory here by batting for almost two full days reaching 622-7 before declaring with Cheteshwar Pujara (193) and Rishabh Pant (159 not out) scoring hundreds.
At the other end, Jasprit Bumrah (1-62) set up Peter Handscomb (37) who played on after a resilient innings facing 111 balls.
Josh Hazlewood was dropped by Hanuma Vihari off Kuldeep's bowling when he had yet to score and he and fellow tailender Mitchell Starc (29 not out) fought a dogged rearguard to put on 42 for the final wicket. Replays suggested the ball would have probably struck Lyon outside the line of off stump and he may have been adjudged not out if DRS was taken.
Australia won the second test in Perth by 146 runs.
The recalled Peter Handscomb began with objective, confidently stroking two boundaries to move to 37 before swiping at a Bumrah delivery and dragging it onto his stumps. Kuldeep Yadav then dismissed Nathan Lyon for 0.
Yadav eventually had his man and ended the innings, trapping Hazlewood lbw with a wrong'un.