Schwarzschild黑洞的广义Stefan-Boltzmann定律

利用黑洞视界面附近的熵密度,得到了黑洞的辐射能通量总是正比于黑洞视界温度四次方的结论,即黑洞的热辐射总是满足广义Stefan-Boltzmann定律。导出的广义Stefan-Boltzmann系数不再是一个恒量,当截断距离以及薄膜厚度选定后,它是一个与黑洞的质量、黑洞视界面附近的时空度规以及辐射粒子的种类有关的比例系数。得到了当截断距离和薄膜厚度取定后,距Schwarzschild黑洞遥远的观测者所接收到的辐射能通量与薄层膜内辐射粒子沿径向的平均泻流速率成正比,与观测者到黑洞之间的距离的平方成反比。

The Generalized Stenfan-Boltzmann Law of Schwarzschild Black Hole

Appling the entropy density near the event horizon,we obtained the result that the radiation energy flux of the black hole is always proportional to the quartic of the temperature of its event horizon.That is to say,the thermal radiation of the black hole always satisfies the generalized Stenfan-Boltzmann law.The derived generalized Stenfan-Boltzmann coefficient is no longer a constant.When the cut-off distance and the thin film thickness are both fixed,it is a proportional coefficient which is related to t...