Rabada took 5/96 in Australia's first innings. After being given out by on-field by Kumar Dharmasena, Smith reviewed the decision.
Australia won the opening test of the four-match series by 118 runs.
The outcome is crucially important to South Africa, for should the charge be upheld against Rabada, the paceman will be ruled out of the remainder of the series.
AC Milan 0-2 Arsenal
After the game, he said: "At some stage, you need to respond and respond together with a good performance. But I have to keep doing the same now", said Mkhitaryan.
Warner, under scrutiny following the unsavory incident with de Kock, made 63 at the top of the order only for Australia to slip up badly in the second session, when they lost five wickets for 72 having been 98-1 at lunch.
Although the incident did not appear to be particularly serious, Rabada's fellow fast bowler Vernon Philander effectively confirmed there was some concern among the South Africans.
Nathan Lyon said he hadn't spoken to Smith. The first one had some excellent cricket, from Mitchell Marsh's 96, Mitchell Starc's devastating reverse swing, Aiden Markram announcing himself and more. He didn't manage that, but 11 balls later bowled Mitchell Starc.
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