Java is set of specs from https://jcp.org,
Implemented by various parties, IBM J9, Sun(Oracle) HotSpot, BEA Systems(Oracle) JRockit are I know of.
Sun open source HotSpot as OpenJDK, Then Oracle merged some code from JRockit, IBM also joined some in to OpenJDK, after shit with https://harmony.apache.org ,
OpenJDK is GPL, Oracle provides compiled version, but there are issues with it's license and long term support, You have to pay for long term support to Oracle, Some product are there still running on JDK 1.4
Since OpenJDK is GPL Redhat provide compiled version for redhat linux called IcedTea, Eclipse foundation provide adoptium, and there are commercial support providers like Azul