Suppose a married woman goes her own way and leaves (but not divorces) her husband. She engages in sexual relationships with other men.
But after a year, she realizes the error of her ways and does teshuva. She desires to reconcile and return with her husband. And the husband -- though he is aware of his wife's infidelity -- forgives her and welcomes her back.
In the Orthodox Jewish opinion, would such a situation be frowned upon?
Two potential mitzvot come to mind, the stoning of adulterers (Lev 20) and the law regarding the wife who must not return to her ex-husband (Deut 24).
For adulterers, we don't carry out such penalties today. But does Deuteronomy 24 apply? In Deuteronomy 24, the mitzvah states that a woman who divorces and remarries cannot ever return to the first husband. Would this apply to the woman, even though no divorce was issued?