The 29-year-old New Zealand Warrior is the biggest casualty from the Kiwis' 38-12 defeat by Great Britain in their last pool match.
Coach Brian McClennan also left out second rower Tony Puletua, while Frank Pritchard is injured.
Loose forward Bronson Harrison, 20, has been included, along with Wigan's new signing Iafeta Palea'aesina.
The Kiwis say they have trained well this week despite a cold snap hitting Leeds.
"Our training sessions have gone well," McClennan said. "I'm very pleased with what we've achieved this week.
"The team has really stepped up. They know this is potentially one of the biggest games of their careers and they've really impressed me with their attitude in the build-up."
Likely New Zealand team to face Australia: B Webb (NZ Warriors); J Webster (Melbourne), S Hape (Bradford), C Toopi (NZ Warriors), M Vatuvei (NZ Warriors); N Vagana (Cronulla), S Jones (NZ Warriors); P Rauhihi (North Queensland), M Tony (Hull), R Wiki (NZ Warriors, capt), D Solomona (Wakefield), D Kidwell (Melbourne), L Anderson (NZ Warriors).
Subs (from): P Whatuira (Wests Tigers), R Asotasi (Canterbury), D Faiumu (North Queensland), B Harrison (Wests Tigers), I Palea'aesina (NZ Warriors), A Lauitiiti (Leeds).
Australia (from): Trent Barrett, Danny Buderus, Petero Civoniceva, Matt Cooper, Anthony Minichiello, Craig Fitzgibbon, Mark Gasnier, Craig Gower, Ben Kennedy, Matt King, Willie Mason, Luke O'Donnell, Mark O'Meley, Steve Price, Scott Prince, Jason Ryles, Brent Tate, Trent Waterhouse, Craig Wing