The antonyms for the word "re-locate" are "stay", "remain", "settle", and "stay put". While "re-locate" means to move to another place, these antonyms refer to the act of staying in one place rather than moving. For instance, if you prefer to stay in your hometown, "re-locate" wouldn't be appropriate, but rather "stay" would denote your preference. Similarly, "remain" indicates that you are already staying in a particular location and plan to continue to do so. "Settle" refers to establishing oneself in a particular place, while "stay put" suggests staying in the same place for an indefinite period. So, depending on the situation, one could use an appropriate antonym for "re-locate".