Musannaf Ibn Abi Shaybah

Ibrahim narrates that Hazrat Abdullah (may Allah be pleased with him) said regarding the son of the woman who performed li'an, that all his inheritance is for his mother; so if his mother is not present, then for the boy’s 'asaba (paternal relatives). And Ibrahim said that all his inheritance is for his mother, and the blood money on his behalf will be paid by his 'asaba. And this is the same ruling for the child of adultery and for the child of a Christian woman if his mother is Muslim.