It is narrated from Sayyiduna Ibn Umar (may Allah be pleased with them both) that a woman (slave girl) used to graze the goats of Al-Ka'b bin Malik on the Sila' mountain. One day, she feared that one of the goats was about to die, so she took a stone (which was sharp) and slaughtered the dying goat with it. When the Messenger of Allah (peace and blessings be upon him) was informed about the woman slaughtering with a stone, he (peace and blessings be upon him) instructed them to eat it: (meaning it was lawful and its meat was also lawful).
Hadith Referenceسنن دارمي / من كتاب الاضاحي / 2010
(Commentary on Hadith 2009) Imam Bukhari rahimahullah has deduced from this that an animal slaughtered by the hand of a woman or a slave-girl is lawful (halal) to eat. Furthermore, if a stone is sharp-edged, it is permissible to slaughter with it, as is mentioned in a narration of Sahih Bukhari (5503): «مَاأَنْهَرَالدَّمَوَذُكِرَاسْمُاللّٰهِعَلَيْهِفَكُلْ ..... إلخ.» When people said, “We do not have a knife, how should we slaughter?” the Prophet sallallahu alayhi wa sallam replied, “Whatever (sharp-edged) thing causes blood to flow and Allah’s name has been mentioned over it, you may eat from what is slaughtered with it, but do not slaughter with a nail or a tooth, for the nail is the knife of the Abyssinians and the tooth is considered a bone, and it is prohibited to slaughter with bone.”