广义测不准关系对无限深势阱问题的影响

考虑了广义测不准原理,并重新计算无限深势阱问题,得到能量本征值。结果表明,此时的能量本征值除了包含通常的En=h2π2n2蛐2ma2以外,还包含能量修正项。而且能量本征值修正项只与参数α有关,与其它的参数没有关系。

五维旋转带电黑洞的Hawking辐射

利用Damour-Ruffini方法,对五维旋转带电时空背景下黑洞的Hawking辐射谱与辐射温度进行了研究。在计算过程中,取时空中总能量守恒、总角动量守恒和总电荷守恒,并考虑黑洞辐射粒子对时空的反作用。发现黑洞辐射谱不再是严格的纯热谱,辐射谱与黑洞的Bekenstein-Hawking熵差有关。计算结果表明,不仅黑洞辐射谱满足量子理论的幺正性,而且能给出黑洞辐射的整个过程。

一类非奇异黑洞的热力学稳定性

黑洞也是一种热力学系统,则对于黑洞通常的热力学定律也应该成立。基于此,研究了巴丁黑洞的热力学量及其热力学稳定性。结果表明巴丁黑洞的熵应该仍然是贝肯斯坦-霍金熵,但是巴丁黑洞的质量不再是该系统的内能。利用重新定义的巴丁黑洞内能,计算了热容量和热力学曲率,以此分析了巴丁黑洞的热力学稳定性和相变。

含挠引力的球对称真空解

用外尔方法计算了爱因斯坦-嘉当理论的球对称真空解。结果表明,在时空几何对称性足够高的情况下,这个方法不仅能用于纯度规引力理论(如:广义相对论)的计算,而且可推广到含挠引力理论中。

Notes on Phase Transition of Nonsingular Black Hole

On the belief that a black hole is a thermodynamic system, we study the phase transition of nonsingular black holes. If the black hole entropy takes the form of the Bekenstein-Hawking area law, the black hole mass M is no longer the internal energy of the black hole thermodynamic system. Using the thermodynamic quantities, we calculate the heat capacity, thermodynamic curvature and free energy. It is shown that there will be a larger black hole/smaller black hole phase transition for the nonsingular black hole. At the critical point, the second-order phase transition appears.

A New Solution with Torsion in Model of dS Gauge Theory of Gravity

有在严肃的 de 保姆计量器理论的模型的扭转的一个新静态的 de 保姆答案被获得。扭转仅仅包含 O (3 ) 对称的张肌部分根据无法缩减的分解。新答案的一些性质被讨论。

Fractional phase transitions of RN-AdS black holes at their Davies points

In this study,we investigate the phase transitions of the RN-AdS black hole at its Davies points according to the generalized Ehrenfest classification of phase transition established based on fractional derivatives.Notably,Davies points label the positions at which the heat capacity diverges.According to the usual Ehrenfest classification,second-order phase transitions occur at these points.For the RN-AdS black hole,the Davies points can be classified into two types.The first type corresponds to extreme values of the temperature,and the second type corresponds to the infection point(namely the critical point)of temperature.Employing the generalized Ehrenfest classification,we determine that the orders of phase transition at the two types of Davies points are different,that is,we note an order of 3/2 for the first type and 4/3 for the second type.Thus,this finer-grained classification can discriminate between phase transitions that are expected to lie in the same category,providing new insights leading toward a better understanding of black hole thermodynamics.

Entanglement Entropy of Reissner–Nordstrm Black Hole and Quantum Isolated Horizon

Based on the work of Ghosh and Pereze, who view the black hole entropy as the logarithm of the number of quantum states on the Quantum Isolated Horizon(QIH)§ the entropy of Reissner–Nordstr¨om black hole is studied.According to the Unruh temperature, the statistical entropy of quantum fields under the background of Reissner–Nordstr¨om spacetime is calculated by means of quantum statistics. In the calculations we take the integral from the position of QIH to infinity, so the obtained entropy is the entanglement entropy outside the QIH. In Reissner–Nordstr¨om spacetime it is shown that if only the position of QIH is properly chosen the leading term of logarithm of the number of quantum states on the QIH is equal to the leading term of the entanglement entropy outside the black hole horizon, and both are the Bekenstein–Hawking entropy. The results reveal the relation between the entanglement entropy of black hole and the logarithm of the number of quantum states.

Statistical Entropy of an Acoustic Black Hole in Bose–Einstein Condensates

The entanglement entropy of an acoustic black hole in a Bose–Einstein condensates(BEC) is derived, which is associated with the phonons generated via the Hawking mechanism in a sonic hole. Considering the dispersion relation of a BEC, we recalculate the entanglement entropy of the acoustic black hole by means of statistical method in two limits. We find that the entropy is still proportional to the area of event horizon, but with a coefcient dependent on the infrared cutof.

Quantized space-time and its influence on two physical problems

Based on Snyder＇s idea of quantized space-time, we derive a new generalized uncertainty principle and new modified density of states. Accordingly, we discuss the influence of the modified generalized uncertainty principle on the black hole entropy and the influence of the modified density of states on the Stefan-Boltzman law.