Will our sun become a black hole? No. Stars like the Sun just are not massive enough to become black hole. Instead, in several billion years, the Sun will cast off its outer layer, and its core will form a white dwarf, a dense ball of carbon and oxygen that no longer produces nuclear energy, which still shines because it is very hot. A typical white dwarf is about as massive as the Sun, but only as big as the Earth, which is one percent of the Sun’s present diameter.