Williamson suffered a groin strain during New Zealand's innings and 154-run loss to Sri Lanka last month. He has been advised to remain at home for rehabilitation ahead of the first Test against India in Bengaluru, which begins on October 16.
New Zealand Cricket added that wicketkeeper-batter Tom Blundell has been called up to the squad in India as a cover, as Williamson tries to recover from the latest injury blow
He underwent surgery in New Zealand shortly afterward and is currently in the early stages of his rehabilitation, racing against time to be fit for the World Cup.
The Kiwis are scheduled to play England in two Tests in the first and second week of next month, following which they will face India in the ICC World Test Championship final.
"It's really, really exciting to be involved in the final, obviously to win it would be that much better," said the 30-year-old considered one of the best current batsmen in the world.
Comfortable series-clinching victory pushed the Kiwis to top of the heap as they became the sixth country in the past 10 years to be ranked number one in Test cricket
New Zealand, having recovered from 71 for three in Christchurch, ended the day trailing Pakistan's first innings 297 by just 11 runs with seven wickets in hand
Kohli is probably the most complete player out of the three of them across formats. His ability to chase things down in the limited-overs format and to pace it as well as he does as often as he does and be not out at the end is extraordinary, says Root
