is thier any specification that there wernt any other vault corperations in other countries or that vault tech wasnt internation or didnt build private vaults or military vaults or government vaults or industrial vaults ect?
No, there's nothing specific saying that Vault tec was the only one, and I think it would be illogical to think so.
There probably were other vault companies willing to build private shelters for the rich in the US, given the ultra-capitalist nature of the society...
A group of survivalists had their own underground shelter in the Ghost farm at Modoc.
Whether or not other governments developed similar programs isnt said, but given that North Korea's subway system is designed to double as deep bomb shelters, and the US' building them (which could be seen as an agressive stance), I think its logical to assume that some other countries had similar projects.