Search really has 3 main levels.
1. Core ranked inverted index data store (Lucene)
2. API layer on top of Lucene with easier query, index, data importing, sharding, etc. (Solr/Elastic Search)
3. Fully hosted API / UI for easier GUI for developers and search relevance engineers (Algolia, Lucidworks Fusion).
The new hotness in search is currently Rust-based tooling. Rust is a great application for search as it's very performance-sensitive and data-structure heavy, and once the indexes are built are fairly stable, leading to the 90th+ percentile latencies and throughput to be much better than Lucene-based libraries that are built on top of the JVM.
For the low level core search engine like Lucene (inverted indexes, TF-IDF ranking, etc), there's Tantivy [1]
For the middle tier (ES) there's Sonic [2]
MeiliSearch [3] is a play for the hipster open-source Algolia. It's in Rust, is MIT licensed, supports self-hosting, has an out of the box web interface.
[1] https://github.com/tantivy-search/tantivy
[2] https://github.com/valeriansaliou/sonic
[3] https://github.com/meilisearch/MeiliSearch