In this paper, we correct the Stefan–Boltzmann law by considering the generalized uncertainty principle, and with this corrected Stefan–Boltzmann law, the lifespan of the Schwarzschild-de-sitter black holes is calcu...In this paper, we correct the Stefan–Boltzmann law by considering the generalized uncertainty principle, and with this corrected Stefan–Boltzmann law, the lifespan of the Schwarzschild-de-sitter black holes is calculated. We find that the corrected Stefan–Boltzmann law contains two terms, the 46 Tterm and the Tterm. Due to the modifications, at the end of the black hole radiation, it will arise a limited highest temperature and leave a residue. It is interesting to note that the mass of the residue and the Planck mass is in the same order of magnitude. The modified Stefan–Boltzmann law also gives a correction to the lifespan of the black hole, although it is very small.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos.11273009 and 11303006
文摘In this paper, we correct the Stefan–Boltzmann law by considering the generalized uncertainty principle, and with this corrected Stefan–Boltzmann law, the lifespan of the Schwarzschild-de-sitter black holes is calculated. We find that the corrected Stefan–Boltzmann law contains two terms, the 46 Tterm and the Tterm. Due to the modifications, at the end of the black hole radiation, it will arise a limited highest temperature and leave a residue. It is interesting to note that the mass of the residue and the Planck mass is in the same order of magnitude. The modified Stefan–Boltzmann law also gives a correction to the lifespan of the black hole, although it is very small.
