Finch suffered the injury while batting during the team's 27-run loss at the Melbourne Cricket Ground, which saw India take an unassailable 2-0 lead in the three-match series.
The southpaw became the first to score a hundred in a session at the Gabba, propelling Australia to a 196-run lead over England.
Cheteshwar Pujara is set to play his 100th Test match when India take on Australia for the 2nd Test of the Border-Gavaskar Trophy
Wearing Australian colours for the first time since the ball-tampering scandal erupted in Cape Town in March, 2018, Steve Smith and David Warner were greeted warmly by a small crowd in Brisbane, where Aaron Finch's team took a one-wicket win.
The Australian Test squad had a Christmas Day Luncheon at Crown Entertainment Complex in Melbourne. Here's a look at a few moments from the event
Captain Usman Khawaja and his opening partner, Joe Burns, smashed scintillating centuries as Australia 'A' thrashed a hapless India 'A' by 119 runs in the second tri-series match in Chennai on Friday.
Ashwin has taken 24 wickets in the series so far with an innings left to bowl, but his 6/91 in 47.2 overs will certainly go down as one of his best efforts on a flat deck
Usman Khawaja is doubtful for the day-night Test against New Zealand in Adelaide later this month after the Australian top order batsman re-injured his left hamstring while fielding at the WACA on Saturday.
India's batting megastars will be desperate to clear the cobwebs from their head in pursuit of a second successive World Test Championship final berth as they take on Australia in the series-deciding fourth Test in Ahmedabad from Thursday.
The uncapped pair are the newcomers in captain Steven Smith's 15-man squad, which includes 10 players with less than 10 Tests, as Australia look to rebuild following a string of retirements after the Ashes defeat in England.
Azhar Ali hit his fourth Test ton against Australia as Pakistan piled on 476-4 before declaring
'We love competing and winning against a very good Indian side. It's always nice to do that, especially on their turf'
Images from the World Cup match between Australia and New Zealand at Lord's on Saturday.
In-form batsman Usman Khawaja has been selected to play his first one-day international in three years when Australia meet New Zealand in the second match of their series in Wellington on Saturday.
Usman Khawaja scored 75 runs to lead an Australia fightback on the third day of the second Test against South Africa at St George's Park, but succumbed just before close of play after seeing the tourists cancel out a first innings deficit.
Pant equals Dhoni's record of most catches in a Test innings
The India captain's 41st ODI century wasn't enough to prevent India from losing the third ODI against Australia by 32 runs in Ranchi, on Friday.
Top-order batsman Shaun Marsh has been dropped from Australia's side for their second Test against West Indies, despite scoring 182 in the comprehensive first Test victory in Hobart.
Clearly he didn't get the length of contract extension offer that he was after so it hasn't been ideal, but I don't subscribe to the fact that it was individuals that were key to making the decision, said selection chief, George Bailey.
Rohit Sharma, Virat Kohli, Cheteshwar Pujara, Mohammed Shami and Ravindra Jadeja could do with a break, which will allow India to try out new players in the Caribbean.
'We tried to be positive and play our shots. The team needed this knock, so I tried to bat for as long as I could.'
Images from Day 1 of the first Test between India and Australia, at the VCA Stadium in Nagpur, on Thursday.
Babar Azam's glorious unbeaten 102 kept Pakistan alive but Australia remained on course for victory in the second Test in Karachi on Tuesday.
Factbox on the four-Test series between Australia and India, which begins on Thursday
Factbox on the five-Test Ashes series between England and Australia
Images from Day 4 of the second Test between Australia and South Africa at the Melbourne Cricket Ground on Thursday.
Khawaja said that he and Finch compliment each other really well and they share a good rapport.
Australia were 126/3 at stumps on Day 1 of the 4th Ashes Test against England at the Sydney Cricket Ground on Wednesday.
Usman Khawaja struck his second century in three matches as Australia thumped India by 35 runs in their final one-dayer to seal a come-from-behind 3-2 series victory at the Feroz Shah Kotla Stadium, on Wednesday.
Australia's top order batsman, who had averaged 49.31 in 2019, has not been included in the national side for over a year.
Former England captain Nasser Hussain has termed the axed Australian quartet from the Mohali Test as lazy and disrespectful and said that they will never forget the public humiliation of being dumped.
Having recovered from a hamstring strain, Usman Khawaja celebrated his recall with a glittering 144, with Queensland team mate Joe Burns making 128 in front of a festive Melbourne Cricket Ground crowd to drive Australia to 345-3 at stumps.
Australia's blockbuster four-Test series against India will be the greatest challenge Pat Cummins has faced in his young captaincy as he looks to conquer the "final frontier".
Rahul didn't provide any definitive answers about three key slots in the team -- the wicketkeeper, the third spinner and the number five in the batting order.
Australia coach Justin Langer has urged the struggling batsmen in his team to step up and deliver when the fifth and final Ashes Test against England starts at The Oval on Thursday.
Batting great Greg Chappell believes Australia can win the upcoming high-profile four-match Test series as India are "vulnerable" this time with injuries to key players like Rishabh Pant and Jasprit Bumrah.
Under-pressure Australia batsman Usman Khawaja is "frustrated" after failing to convert a number of starts in the Ashes series but insists his batting is in a good place as he looks for form in the tour match against Derbyshire on Thursday.
Left-arm spinner Nauman claimed a career-best 6-107 on a flat track where bowlers struggled for success.
Australia's 'A' tour of South Africa has fallen victim to the pay dispute between the players and Cricket Australia after the squad decided not to travel as scheduled on Friday in the absence of a new agreement.
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