Ponting, who has been an assistant coach for Australia's T20 side twice before, will fit his coaching duties around commentary work that he was already scheduled to do during the series.
Stokes will now face a race against time to be fit for upcoming limited-over series against England, with the severity of his injury likely to be clearer in coming days.
Cricket Australia announced the 15-player squad on Tuesday for the five-match series, which starts June 13 at The Oval in London and is part of Australia's preparations for an attempted World Cup title defence in England in 2019.
The coach is expected to be named prior to the team's next playing assignment, which is the Qantas Tour to England in early June.
The two visiting teams had already booked a place in the final to be played on Saturday after India were knocked out following three losses.
As per the video surfaced on social media, Aussie batsman Cameron Bancroft was spotted appearing to pour sugar into his left pocket during the fifth Test in Sydney against England.
Beaumont and Sciver, who play in the Women's Big Bash League, took a listless Australian bowling to task as they overhauled the target with plenty to spare.
The Indian women's team would take confidence from their 3-1 win against South Africa in the five-match T20 series held in the Rainbow Nation.
It was Australia's third consecutive win in the tri-series, which now shifts to New Zealand and a match Tuesday in Wellington between England and New Zealand.
Under Smith's leadership, Australia have won just two out of 13 one-day internationals in the past 12 months, but the skipper has quashed any talk of giving up ODI captaincy.
Spinner Moeen Ali chipped in with 3/55, which included a spectacular one-handed return catch to dismiss hard-hitting all-rounder Mitch Marsh for 13.
Despite losing seven wickets in the run chase, the hosts cruised to victory with 13 overs to spare on the back of a masterful display from Head, who missed his second ODI hundred by four runs.
Cricket Australia has named Glenn Maxwell would as Finch's replacement, who top-scored with 62 in last Sunday's 16-run loss at Sydney.
Smith's actions raised a few eyebrows but the Australian skipper laughed off the reaction after viewing the replay of the footage shown to him, stating that it was it standard technique to help shine the ball.
After being thumped 4-0 in the Ashes Test series, England's limited-overs players produced a stunning turnaround to beat the Australians three times in a week, outplaying the home team both when chasing and defending big totals.
The Prime Minister's XI (PM XI) is an invitational cricket team picked by the Prime Minister of Australia for an annual match held at the Manuka Oval in Canberra against an overseas touring team.
Australia, who are trailing 0-1 in the five-match series, will play their second ODI against England on January 19 at the Gabba.
Jason Roy scored a remarkable knock of 180 runs off 151 balls as England outclassed Australia by five wickets.
Warner was present at the Melbourne Cricket Ground (MCG) on Saturday, walking laps, but didn't take part in the training session.
The 34-year-old White has not represented Australia in any format since 2015.
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