Kerr-Newman黑洞的谐振子模型及量子面积谱

利用Kerr-Newman黑洞的质量M，电量Q，角动量J和它们各自的对偶量，π_M,π_Q,π_J,构成的六维相空间，通过规范变换，首先建立黑洞的简谐振子模型；再利用该模型进一步研究Kerr-Newman黑洞的量子面积谱. 关键词： 黑洞 规范变换 简谐振子模型 量子面积谱     

引力彩虹时空中Kerr黑洞的熵谱和面积谱

利用黑洞的绝热不变性,研究了引力彩虹时空中Kerr黑洞的熵谱和面积谱.首先,在引力彩虹时空背景下,计算了Kerr黑洞的绝热不变作用量,并将其与玻尔-索末菲量子化条件相结合,给出了黑洞的熵谱.得到的熵谱没有引力彩虹时空本身具有的粒子能量依赖性,且是与经典Kerr黑洞中原始贝肯斯坦熵谱相同的等间距熵谱.然后,根据黑洞热力学第一定律和黑洞熵谱,给出了与原始贝肯斯坦谱不同的面积谱.该面积谱是非等间距的,而且有对黑洞面积的依赖性,但不依赖于探测粒子的能量.面积谱表明,随着黑洞面积的减少,面积间隔逐步变小;当黑洞达到普朗克尺度时,面积量子可降为零.这表示黑洞面积不再减少,黑洞出现辐射剩余.而在忽略色散关系的修正效应或在大黑洞极限下,面积谱的修正项可以忽略,引力彩虹Kerr黑洞面积谱可以回归到原始贝肯斯坦谱.此外,对引力彩虹时空Kerr黑洞的熵进行了讨论,得到了带有面积倒数修正项的黑洞熵,分析了黑洞熵的量子修正与面积谱量子修正的一致性.     

经典Kerr黑洞和量子Kerr黑洞系统的微正则系综理论描述与统计“自举”条件

分别从Kerr黑洞的经典谱和量子谱出发，建立了一个居于微正则系综理论描述的系统态密度 的不等式，并由此证明了Kerr黑洞满足统计“自举(bootstrap)”条件.其主要结论是对于由 大量Kerr黑洞组成的体系，在高能极限下，最可能的构型是一个黑洞将获得系统所有的质量 和全部的角动量，而且转动不会破坏黑洞的“自举”性质. 关键词： Kerr黑洞 统计“自举”问题     

对动态缓变Reissner-Nordström黑洞量子辐射特征的研究

考虑到Reissner-Nordstrom黑洞的质量M和荷电量Q随时间t缓慢变化的情况,研究了此黑洞的量子辐射特征.结果表明,在动态缓变Reissner-Nordstrom时空中荷电Dirac粒子的量子热辐射谱与其黑洞蒸发率及随时间t缓变的M(t)和Q(t)等因素有关;动态缓变Reissner-Nordstrom黑洞量子非热辐射的最大能量与量子热辐射谱中的化学势相等.     

对动态缓变Reissner-Nordstr(o)m黑洞量子辐射特征的研究

考虑到Reissner-Nordstrom黑洞的质量M和荷电量Q随时间t缓慢变化的情况,研究了此黑洞的量子辐射特征.结果表明,在动态缓变Reissner-Nordstrom时空中荷电Dirac粒子的量子热辐射谱与其黑洞蒸发率及随时间t缓变的M(t)和Q(t)等因素有关;动态缓变Reissner-Nordstrom黑洞量子非热辐射的最大能量与量子热辐射谱中的化学势相等.     

对动态缓变Reissner-Nordstrm黑洞量子辐射特征的研究

考虑到Reissner Nordstr m黑洞的质量M和荷电量Q随时间t缓慢变化的情况 ,研究了此黑洞的量子辐射特征 .结果表明 ,在动态缓变Reissner Nordstr m时空中荷电Dirac粒子的量子热辐射谱与其黑洞蒸发率及随时间t缓变的M(t)和Q(t)等因素有关 ;动态缓变Reissner Nordstr m黑洞量子非热辐射的最大能量与量子热辐射谱中的化学势相等     

Kerr 时空黑洞熵和测不准关系

通过应用在量子引力中、由广义测不准关系得出的新的态密度方程,直接求解轴对称Kerr黑洞背景下Bose场和Fermi场的配分函数.然后,在黑洞视界附近计算黑洞背景下Bose场和Fermi场的熵.在所得结论中不存在用brick wall模型计算黑洞熵时出现的发散项,也不存在紫外因子.得到黑洞熵与视界面积成正比的结论.     

对动态缓变Reissner-Nordstroem黑洞量子辐射特征的研究

考虑到Reissner-Nordstroem黑洞的质量M和荷电量Q随时间t缓慢变化的情况，研究了此黑洞的量子辐射特征．结果表明，在动态缓变Reissner-Nordstroem时空中荷电Dirac粒子的量子热辐射谱与其黑洞蒸发率及随时间t缓变的M(t)和Q(t)等因素有关；动态缓变Reissner-Nordstroem黑洞量子非热辐射的最大能量与量子热辐射谱中的化学势相等．     

轴对称黑洞的量子统计熵

避开了求解黑洞背景下波动方程的因难,应用量子统计方法,通过应用在量子引力中、由广义测不准关系得出的新态密度方程,直接求解轴对称Kerr黑洞背景下玻色场和费米场的配分函数.然后,在视界附近计算黑洞背景下玻色场和费米场的熵.得到用收敛级数表达的黑洞熵.在计算中不存在用brick wall模型计算黑洞熵时出现的发散项和小质量近似,使人们对非球对称时空中黑洞的统计熵有更深入的认识. 关键词： 量子统计 非球对称时空 广义测不准关系 黑洞熵     

黑洞量子隧穿过程的时间

讨论了弯曲时空中黑洞量子隧穿的时间.在假定了黑洞量子隧穿是一个瞬时过程的情况下,通过利用WKB法得出了有静止质量粒子的量子隧穿辐射谱.该辐射谱表明对于在黑洞视界处有静止质量粒子的出射也满足量子力学中的幺正性原理,支持Parikh-Wilczek的结论.结果的合理性表明,在黑洞视界处的量子隧穿过程可以看成是一个瞬时过程.     

Counting the microstates of a Kerr black hole in M theory

We show that an extremal Kerr black hole, appropriately lifted to M theory, can be transformed to a Kaluza-Klein black hole in M theory, or a D0-D6 charged black hole in string theory. Since all the microstates of the latter have recently been identified, one can exactly reproduce the entropy of an extremal Kerr black hole. We also show that the topology of the event horizon is not well defined in M theory.     

Black hole emissions and phase transitions

The nonthermal emission of a rotating black hole is related to the inner horizon of the hole. The transition from the Kerr black hole state to the naked singularity state is considered as a phase transition. An arrangement of the energetics of Kerr black holes into a two-phase thermodynamics is suggested.     

Tachyons and the second law of black hole physics

It is shown that the usual proof of the second law of black hole physics breaks down if there are tachyons present in the vicinity of a black hole. Explicit cases are discussed where a tachyon of positive energy falling into the Kerr singularity actually decreases the area of the Kerr black hole.     

On neutral scalar radiation by a massive orbiting star in extremal Kerr‐Newman black hole

We extend the work of 1401.3746 about gravitational waves by a massive orbiting star in an extremal Kerr black hole to an extremal Kerr‐Newman black hole for the scalar radiation, and we still find that it has a CFT interpretation from Kerr‐Newman/CFT, because our scalar is neutral although the black hole is a charged one. When the charge of black hole is zero, we can get the result of 1401.3746, so we give a new evidence on Kerr‐Newman/CFT. In addition, we investigate on electromagnetic radiation with Kerr/CFT in detail which isn't given by 1401.3746.     

A boosted Kerr black hole solution and the structure of a general astrophysical black hole

A solution of Einstein’s vacuum field equations that describes a boosted Kerr black hole relative to an asymptotic Lorentz frame at future null infinity is derived. The solution has three parameters (mass, rotation and boost) and corresponds to the most general configuration that an astrophysical black hole must have; it reduces to the Kerr solution when the boost parameter is zero. In this solution the ergosphere is north-south asymmetric, with dominant lobes in the direction opposite to the boost. However the event horizon, the Cauchy horizon and the ring singularity—which are the core of the black hole structure—do not alter, being independent of the boost parameter. Possible consequences for astrophysical processes connected with Penrose processes in the asymmetric ergosphere are discussed.     

Tunnelling effect of the non-stationary Kerr black hole

Extending Parikh and Wilczek＇s work to the non-stationary black hole, we study the Hawking radiation of the non-stationary Kerr black hole by the Hamilto-Jacobi method. The result shows that the radiation spectrum is not purely thermal and the tunnelling probability is related to the change of Bekenstein Hawking entropy, which gives a correction to the Hawking thermal radiation of the black hole.     

Formation of black hole and emission of gravitational waves

Numerical simulations were performed for the formation process of rotating black holes. It is suggested that Kerr black holes are formed for wide ranges of initial parameters. The nature of gravitational waves from a test particle falling into a Kerr black hole as well as the development of 3D numerical relativity for the coalescing binary neutron stars are discussed.     

匀加速直线运动的Kerr黑洞的非热效应

研究了匀加速直线运动的Kerr黑洞周围时空中的自发辐射.得到了发生自发辐射的能量条件,它不仅依赖于黑洞的角动量和加速度,而且还与黑洞的变化有关 关键词： 动态Kerr黑洞 非热辐射     

Quasistationary collapse to the extreme Kerr black hole

It is shown that the extreme Kerr black hole, i.e. the one with the maximal angular momentum for a given mass, is the only candidate for a black hole limit of rotating fluid bodies in equilibrium.