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By the statistical entropy of the Dirac field of the static spherically symmetric black hole, the result is obtained that the radiation energy flux of the black hole is proportional to the quartic of the temperature of its event horizon. That is, the thermal radiation of the black hole always satisfies the generalised Stenfan--Boltzmann law. The derived generalised 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 related to the space--time metric near the event horizon and the average radial effusion velocity of the radiation particles from the thin film. Finally, the radiation energy fluxes and the radiation powers of the Schwarzschild black hole and the Reissner--Nordstrõm black hole are derived, separately. 相似文献
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黑体辐射中两类粒子的辐射规律 总被引:1,自引:1,他引:0
考虑到相对论效应,采用量子统计的方法,得到了满足Bose-Einstein统计分布和Fermi-Dirac统计分布的两类粒子的黑体辐射公式(包括Planck黑体辐射公式).发现辐射谱不仅与黑体的辐射温度有关,还与辐射粒子的能量、化学势和种类有关.辐射强度与辐射粒子的能量、静质量、简并因子有关。 相似文献
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The generalized Stefan--Boltzmann law of a rectilinear non-uniformly accelerating Kinnersley black hole 下载免费PDF全文
Using entropy density of Dirac field near the event horizon of a rectilinear non-uniformly accelerating Kinnersley black hole, the law for the thermal radiation of black hole is studied and the instantaneous radiation energy density is obtained. It is found that the instantaneous radiation energy density of a black hole is always proportional to the quartic of the temperature on event horizon in the same direction. That is to say, the thermal radiation of a black hole always satisfies the generalized Stefan-Boltzmann law. In addition, the derived generalized Stefan-Boltzmann coefficient is no longer a constant, but a dynamic coefficient related to the space-time metric near the event horizon and the changing rate of the event horizon in black holes. 相似文献
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由Dirac方程研究带电蒸发黑洞的新方法 总被引:3,自引:1,他引:2
该文从Dirac方程本身直接导出带电蒸发黑洞的视界位置和Hawking温度,提出了由Dirac方程研究带电蒸发黑洞的新方法 相似文献
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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.
关键词:
黑洞
统计熵
薄层模型
辐出度 相似文献