Indexing Strategy for Partitioned Table in PostgreSQL 15.13

Hello Team,

We’re running PostgreSQL version 15.13.

I have a large partitioned table with around 100 partitions, and we're
planning to add an index to it. I'm a bit concerned about the potential
impact and duration of the indexing process, and I’d appreciate your inputs
on the following:

1.

If I run CREATE INDEX CONCURRENTLY on the *parent table*, will it
automatically create indexes concurrently on all its partitions?
2.

Are there any recommended or more efficient approaches for indexing a
heavily partitioned table that I should consider?

Thanks in advance for your guidance.

Regards,

Mahesh