关于一类数学黑洞和广义黑洞

本文通过给出一类数学黑洞和广义黑洞的确切定义，证明了：所有被３整除的正整数只有黑洞１５３；所有被除３余２的正整数中只有黑洞３７１和４０７，所有被３除余１的正整数中只有黑洞１和３７０及广义黑洞５５－２５０－１３５－５５，９１９－１４５９－９１９，１６０－１２７－３５２－１６０和１３６－２４４－１３６。即找到了自然数集的所有黑洞和广义黑洞。

广义Schwarzschild黑洞的电磁扰动拟正则模

研究了广义 Schwarzschild黑洞的电磁扰动 ,得到了广义 Schwarzschild黑洞外部时空中电磁势所满足的微分方程 ,讨论了 3种情况下方程中的等效势函数 V与 r* 的关系 ,并用数值计算的方法得到了相应的拟正则模 .

动态广义球对称含荷黑洞的统计熵

利用改进了的brick wall膜模型 ,计算了动态广义球对称含荷黑洞的熵 ,研究结果表明 ,对于动态黑洞 ,将黑洞熵表示为与视界面积成正比时 。

广义球对称带电静态黑洞的辐射能通量及辐射功率

利用静态球对称黑洞Dirac场的统计熵,导出广义球对称带电静态黑洞的广义S tefan-Boltzmann定律,得出了黑洞的辐出度与视界温度的4次方成正比的结论。利用热质点模型,研究了广义球对称带电静态黑洞的辐射能通量和辐射功率,指出当截断的固有厚度η、黑洞质量m、黑洞电荷Q及Ψ取定后,距离黑洞遥远的观测者所接收到的辐射能通量与观测者到黑洞距离的平方成反比。

Quantum Statistical Entropy of Five-Dimensional Black Hole

The generalized uncertainty relation is introduced to calculate quantum statistic entropy of a black hole. By using the new equation of state density motivated by the generalized uncertainty relation, we discuss entropies of Bose field and Fermi field on the background of the five-dimensional spacetime. In our calculation, we need not introduce cutoff. There is not the divergent logarithmic term as in the original brick-wall method. And it is obtained that the quantum statistic entropy corresponding to black hole horizon is proportional to the area of the horizon. Fhrther it is shown that the entropy of black hole is the entropy of quantum state on the surface of horizon. The black hole＇s entropy is the intrinsic property of the black hole. The entropy is a quantum effect. It makes people further understand the quantum statistic entropy.

Quantum Entropy of Black Hole with Internal Global Monopole

Using the generalized uncertainty relation, the new equation of state density is obtained, and then the entropy of black hole with an internal global monopole is discussed. The divergence that appears in black hole entropy calculation through original brick-wall model is overcome. The result of the direct proportion between black hole entropy and its event horizon area is drawn and given. The result shows that the black hole entropy must be the entropy of quantum state near the event horizon.

Generalized Uncertainty Principle and Black Hole Entropy of Higher-Dimensional de Sitter Spacetime

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-- Hawking black hole entropy. In particular, many researchers have expressed a vested interest in the coetticient of the logarithmic term of the black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty prlnciple and obtain the correction term caused by the generalized uncertainty principle. Because in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is positive. This result is different from the known result at present. Our method is valid not only for four-dimensional spacetimes but also for higher-dimensional spacetimes. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the entropy correction of the complicated spacetime.

Entropy of Schwarzschild-de Sitter Black Hole with Generalized Uncertainty Principle Revisited

We study the entropy of Schwarzschild-de Sitter black holes based on generalized uncertainty principle with brick-wall method by counting degrees of freedom near the horizons and obtain the entropy proportional to the surface area at the horizons without cut-off. And reveal the possible value of the minimum length.