Based on the cosmological model without singularity, this paper demonstrates that there is an upper limit of the mass of stable black holes. An unstable black hole could become quasar or an orphan quasar. When the mass of an unstable black hole increases to large enough so that the temperature of its central zone comes up to the highest temperature, the highest symmetry will be realized and then inflation will occur. Consequently, the black hole will transform into a new v-cosmic or a s-cosmic island inside the original s-cosmic island. This v-cosmic island seems to be a huge orphan quasar, and this s-cosmic island seems to be a huge quasar or white hole. This is because there is only a repulsive force between the s-particles and v-particles, and when the temperature is greater than the critical temperature, the s-particles and the v-particles must significantly transform from one to other. The more massive the black hole is, and the higher the density and temperature of the black hole are, the faster the transformation is. It is seen that the critical temperature and the highest temperature of the universe determine the mass of a stable black hole and evolution of an unstable black holes.

black holes, evolution of a black hole, quasar, orphan quasar, the highest temperature, critical temperature.