It was narrated that Ibn 'Abbas (رضي الله عنه) said:

The Messenger of Allah (ﷺ) ruled concerning the son of the woman who engaged in li’an that he should not be called after any father; and if anyone accused her or accused her son, he was to be given the hadd punishment of flogging. And he ruled that she was not entitled to maintenance (sood) or accommodation [from her former husband), because they had separated by means of something other than talaq (divorce) and he had not died and left her a widow.