Historically, what do we call the "Rashidun Caliphate"?

[The Tamarind Keeper]

Assalamu Alaykum, so i was wondering what do we refer to this State that historically was established after the passing away of our Beloved Prophet Muhammad(صلى الله عليه وآله وسلم)? Because we know that the first 3 who established this state had usurped said rule, and thus glorifying them by claiming they are rightly guided isn't our aim. but historically there should be another name to refer to this state, is there?

[Abu Hassanain]

3 hours ago, The Tamarind Keeper said:

Assalamu Alaykum, so i was wondering what do we refer to this State that historically was established after the passing away of our Beloved Prophet Muhammad(صلى الله عليه وآله وسلم)? Because we know that the first 3 who established this state had usurped said rule, and thus glorifying them by claiming they are rightly guided isn't our aim. but historically there should be another name to refer to this state, is there?

Salam 

generally would be referred to as the government of a Abu Bakr  the government of  Umar , the government of Uthman etc 

I don’t like terms like early Islam, Islamic, government, etc. for them

But we don’t have a specific term of historical or theological sources

wallahu Alam