Can you still live with your spouse?

What is everyone’s thought of living with your spouse while separated? Doing your own thing you just happen to live under the same roof. My husband recently admitted to cheating. He was also recently arrested and may spend some time in jail. We have been together for 10 years so I’m trying not to make a quick decision. We have decided to focus on ourselves. He needs a lot of healing and so do I. With the unknown, we’ve decided living together is the best for financial reasons. We’ve promised to be honest with each other and set a boundary of no dating in the house and telling each other if we do decide to date. Basically agreed to just go with the flow of life and see where it takes us. Am I just setting myself up for failure?