South Africa named uncapped Neil Brand as their captain for a two-match Test tour of New Zealand next month where the majority of their team will be missing, competing instead in the domestic Twenty20 league.
Bavuma has replaced Dean Elgar as skipper in the longest format, though the latter remains part of a much-changed squad.
Dean Elgar scored his 14th Test century to help South Africa to take an 11-run lead with five wickets in hand on Day 2.
New Zealand took their time but eased to an emphatic victory over an inexperienced South Africa side by 281 runs
The fourth day of the first Test ended with South Africa scoring 94 runs for the loss of four wickets.
Images from Day 4 of the third Test between South Africa and India, in Cape Town, on Friday.
Injury blow hit the South African camp as Anrich Nortje was ruled out of the second Test against West Indies.
Test cricket remains the pinnacle of the game, Cricket South Africa (CSA) said after it was criticised for selecting a second-string squad featuring seven debutants for the country's two fixtures in New Zealand next month.
South Africa need 122 runs to win with 8 wickets in hand.
A desperate India seek to restore parity against South Africa and remain consequential in the World Test Championship.
For the golden generation of Indian cricketers, this is their last chance to conquest what no other team could on eight previous tours.
Williamson's 109 from 132 deliveries on another sun-kissed day at Mount Maunganui made him only the fifth New Zealander to score a hundred in each innings of a Test.
IMAGES from the Day 2 of the first Test between South Africa and India, at Centurion, on Wednesday.
The first Test starts at Lord's on Wednesday.
Sarfaraz, Imad Wasim dropped from Pakistan white-ball squad vs Australia.
David Bedingham scored his maiden Test century as South Africa handed New Zealand a victory target of 267 on a tricky pitch on the third day of the second and final Test.
Batsmen Temba Bavuma and Keegan Petersen, left-arm seam bowler Beuran Hendricks, and all-rounder Andile Phehlukwayo will join the team in Johannesburg on Wednesday
South Africa have rested batter Temba Bavuma for their home white-ball series against India this month after a poor Cricket World Cup, but he will captain the team in the two-Test series which starts on Dec. 26.
The bowling stocks looks good, but the major concern will be around the batting line-up, which struggled on the recent tour of England.
'It's just our personalities and character as South Africans, even though we're the underdogs, we always come back fighting.'
World No 1 India may feel they have never had a better chance of winning their first ever Test series in South Africa.
South Africa batter Keegan Petersen says his team will look to keep India's lead under 200 in the second Test, as anything more will be difficult to chase on a pitch that is getting tougher by the day.
Dean Elgar lived up to his reputation as a dogged, street-fighting batsman as he held the Indian bowling attack at bay, scoring a patient 46 off 121 balls.
Former India head coach Ravi Shastri lavished rich praise on Keegan Petersen, saying the South African batter is great world player in the making.
First innings centurion Aiden Markram (35 not out) and Heinrich Klaasen (0 not out) will resume on the third morning, hoping to build on what is already a sizeable advantage.
Who do you think should be part of India's playing for the first Test against South Africa?
IMAGES from Day 1 of the 1st Test played between South Africa and West Indies at SuperSport Park in Centurion on Tuesday.
South Africa skipper Dean Elgar and team manager Khomotso Masubelele met match officials during the lunch break on Day 2 of the second Test, in Johannesburg, to discuss a questionable caught behind dismissal of Rassie van der Dussen.
South Africa spinner Keshav Maharaj took the key wicket of first innings centurion Mahmudul Hasan Joy as Bangladesh slipped to 11/3 in pursuit of a victory target of 274 at the close of play on day four of the first Test.
Temba Bavuma scored an unbeaten half-century as South Africa reached 233 for four at end of Day 1
Kagiso Rabada is a huge figure in the South African seam attack and his loss for the opening Test against England would be a massive blow as he battles back from an ankle problem.
Bangladesh left-arm spinner Taijul Islam took 6/135 but the touring side struggled with the bat as they limped to 139 for five at the close on day two of the second and final Test against South Africa on Saturday.
After fast bowler Khaled Ahmed (2-59) had South Africa opener Sarel Erwee (24) caught by wicketkeeper Litton Das, Taijul claimed the next three wickets.
Who do you think should be part of India's playing for the second and final Test against South Africa?
The Indian players were visibly irked after a controversial Decision Review System (DRS) call, which went in favour of South Africa skipper Dean Elgar as he survived a close leg before shout against Ravichandran Ashwin.
Seamer Lungi Ngidi showed all his guile to take five wickets for 19 runs as South Africa skittled West Indies for 97 and seized the initiative on the first day of the first Test in Saint Lucia on Thursday.
Fast bowler Duanne Olivier has been recalled for South Africa's home Test series against India, a reward for excellent domestic form from a player who shot to prominence four years ago before taking up a Kolpak contract.
Images from Day 2 of the third Test between South Africa and India, in Cape Town, on Wednesday.
A fiery spell from captain Ben Stokes dragged England back into the match but South Africa remained the happier side as they reached 289/7 at the close on the second day of the first Test at Lord's on Thursday.