静态球对称黑洞Dirac场的Stefan-Boltzmann定律

Stefan-Boltzmann's law of the Dirac field of static spherically symmetric black holes

利用静态球对称黑洞Dirac场的统计熵 ,导出静态球对称黑洞的Stefan Boltzmann定律 ,得到黑洞的辐出度与视界温度的四次方成正比的结论 .发现Stefan Boltzmann常数不同于平直时空的值 ,并且在不同时空度规中该常数有不同的值 .

Using the statistical entropy of the Dirac field of static spherically symmetric black hole, the Stefan-Boltzmann's law of static spherically symmetric black holes is calculated, and we obtain a conclusion that the radiant emittance of a black hole is proportionate to quartic power of temperature of the event horizon of the black hole. It is found that the value of Stefan-Boltzmann constant in curved space-time is different from that in Euclidean space-time, and the constant has different value in different space-time.