Johnson Rested For Remaining ODIs
And although Michael Clarke will miss the rest of the series with a hamstring injury, the selectors have not called up an extra batsman.
They feel they already have enough batting cover and have instead bolstered their bowling options with Cummins and Starc.
Cummins has not played an ODI since 2012 but recently made a return to international cricket in the Twenty20 International series.
Starc has recovered from a groin strain.
The series now moves on to Canberra, Melbourne and Sydney.
All-rounder James Faulkner will join up with the squad for the fourth and fifth matches while Mitchell Marsh will join up with Western Australia following the third match.
Left-arm spinner Xavier Doherty returns to the squad and Matthew Wade retains his place as wicket-keeper with Brad Haddin ruled out through injury.
Australia ODI squad: George Bailey (captain), Nathan Coulter-Nile, Pat Cummins, Xavier Doherty, James Faulkner, Aaron Finch, Josh Hazlewood, Mitchell Marsh, Glenn Maxwell, Kane Richardson, Steve Smith, Mitchell Starc, Matthew Wade, David Warner, Shane Watson
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