自引力辐射体系的熵与引力坍缩

本利用李立新和刘辽导出的黑洞视界附近的辐射态方程，计算了约束在一个球形盒子中的自引力辐射体系的熵（不含中心黑洞和含有中心黑洞两种情况）。与Ｓｏｒｋｉｎ等人的计算比较，本的结果不会出现发散困难，而且体系的总熵（包括中心黑洞的熵）的上限正好等于坍缩后形成的同质量的黑洞熵。作认为，自引力辐射体系坍缩的合理模式是先形成中心黑洞，然后中心黑洞逐渐长大直至整个体系全部坍缩为黑洞。在坍缩过程中，任一中间态     

非理想流体自引力坍缩体系的熵变

本文利用共动度规讨论了非理想流体开放体系在自引力作用下的坍缩过程之熵变,结果表明,形成视界之前,体系的总熵不增,这说明黑洞的高熵产生于突变之中。     

坍缩为黑洞前的自引力球对称电磁辐射体系

本文在R.D.sorkin等人工作的基础上对自引力球对称电磁辐射体系坍缩为黑洞前的能量密度及最大熵值作了讨论,得到了一些有意义的结果.     

引力坍缩能形成环星系吗?

大部分环星系是由星系相互作用、引力响应的演化形成．但是，这并不是形成环星系的唯一方式．孤立星系的引力坍缩也可能形成环星系．本文进行引力坍缩的数值模拟试验，计算结果也显示出较好的环形结构．     

多方气体球引力坍缩中激波的形成和传播

本文采用计算流体力学中的高分辨率ＰＰＭ格式，数值模拟了多方气体球的引力坍缩、激波形成和传播，物态方程取成Ｐ＝Ｋ（ｓ）ργ，γ为密度的分段函数，通过绝热指数γ的不同取法对三个模型分别进行了计算，并对引力坍缩、反弹激波形成和传播等三个过程以及不同模型之间计算结果上的一些差异做了比较仔细的分析，得到了一些初步结论。     

多方气体球引力坍缩中激波的形成和传播

本文采用计算流体力学中的高分辨率ＰＰＭ格式，数值模拟了多方气体球的引力坍缩、激波形成和传播。物态方程取成ｐ＝Ｋ（ｓ）ρ＾γ，γ为密度的分段函数，通过绝热指数γ的不同取法对三个模型分别进行了计算，并对引力坍缩、反弹激波形成和传播等三个过程及不型之间计算结果的一些差异做了比较仔细的分析，得到了一些初步结论。     

引力坍缩能形成环星系吗？

大部分环星系是由星系相互作用，引力响应的演化形成，但是，这并不是形成环星系的唯一方式，孤立星系的引力坍缩也可能形成环星系，本进行引力坍缩的数值模拟试验，计算结果也显示出较好的环形结构。     

非均匀椭球的引力坍缩

本文讨论了密度不均匀性对椭球引力坍缩的影响。如果椭球初始存在一个从中心到边缘的微小密度梯度,就会产生一个在坍缩后期不可忽视的压力。这个压力起抗衡引力坍缩的作用,作用的大小受热力学过程影响。满足多方过程pocp~v(v～5/3)的非均匀椭球会出现振荡。但对于初始偏心率很大的长椭球,反而会加强Lin,Mestal & Shu于1965年提出的不稳定性。     

大质量黑洞吸积盘的径向自引力

本文研究了大质量黑洞吸积盘的自引力,用薄盘位形上积分的方法计算了吸积盘自引力的径向与垂向分量,着重讨论了径向自引力。主要结果为:对于大质量黑洞(M～10~8—10~(10)M_⊙)吸积盘,在(R/R_g)～10~5—10~4的距离上,径向自引力会超过中心天体引力。在这个距离上,吸积盘的动力学结构完全不同于开普勒盘。提出了径向自引力不稳定扰动作为一种能源机制。本文还得到吸积盘自引力与中心天体引力量级比较的两个判据,并由此得到大质量黑洞吸积盘外半径的近似解析估计。本文结果可用于类星体和星系核吸积盘。     

真的有中等质量的黑洞吗?

现在,一般认为太空中的黑洞可分为三类：（1）按照宇宙创生热大爆炸学说,宇宙开始膨胀时大爆炸异乎寻常的力量可将一定数量的物质挤压得极度致密,从而形成了"原初黑洞"。这种黑洞只有质子或中子那么大,但质量却与小行星相仿（参见本刊1996年第3期文章：原初黑洞简介）;（2）恒星在其晚年,内部核燃料耗尽,核反应停止,星体在其自身引力的作用下开始坍缩,若坍缩物质的质量大于太阳质量的3倍,则坍缩的最终产物便是恒星级黑洞。目前,最可信的此类黑洞候选者中,质量最大的约为太阳的15倍（参见本刊1998年第4期文章：恒星级黑洞）;（3…     

Blandford-Znajek过程对黑洞吸积盘演化的影响

本文详细讨论了在Blandford－Znajek过程中吸积盘中心黑洞的角动量和质量的总变化率与质量吸积率和能量提取率之比的关系，在此基础上讨论了BlandfordZnajek过程对黑洞吸积盘内边缘半径r_(ms)演化的影响，并证明在此过程中中心黑洞的熵总是增大的。     

黑洞吸积盘内边缘半径的演化

本文用广义相对论讨论了黑洞吸积盘内边缘半径ｒ（ｍｓ）的演化规律。结果表明，吸积盘的中心黑洞在由Ｓｃｈｗａｒｚｓｃｈｉｌｄ型向极端Ｋｅｒｒ型演化的过程中，黑洞的角动量变化对ｒ（ｍｓ）的影响始终比黑洞的质量变化对ｒ（ｍｓ）的影响大。在此过程中ｒ（ｍｓ）始终是连续、单调减小的。本文得出ｒ（ｍｓ）对时间变化率的取值范围，并对其物理意义作了讨论。     

Quantum tunneling makes a Reissner–Nordstrom black hole turn into a Kerr–Newman black hole under angular momentum conservation

Hawking radiation can be viewed as a process of particle quantum tunneling near a black hole horizon. When a particle with angular momentum tunnels across the event horizon of a Reissner–Nordstrom black hole, the black hole will change into a Kerr–Newman one. In previous papers, axisymmetric black hole has been studied only when a keeps constant. Changing from Reissner–Nordstrom to Kerr–Newman should be a simple case when a varies. After this, more general radiation including changed a in Kerr or Kerr–Newman spacetimes can be studied in the future. The emission rate of the massless particles with angular momentum is calculated, and the result is consistent with an underlying unitary theory.      

Effects of the Blandford–Znajek process on the evolution of the central black holes of accretion discs

The effects of the Blandford–Znajek (BZ) process on the evolution of the central black holes of accretion discs are investigated by an analytical method and numerical calculations in this paper. It is shown that the BZ process reduces the rates of change of some parameters of the black hole, such as mass, angular momentum, dimensionless angular momentum and temperature, and the evolution of the central black hole towards the extreme Kerr black hole is depressed effectively. However, the rate of change of entropy of the central black hole is augmented in the BZ process. In addition, the consistency of the BZ process with the three laws of black hole thermodynamics is discussed.     

Fading Hawking radiation

In this study, we explore a particular type Hawking radiation which ends with zero temperature and entropy. The appropriate black holes for this purpose are the linear dilaton black holes. In addition to the black hole choice, a recent formalism in which the Parikh-Wilczek’s tunneling formalism amalgamated with quantum corrections to all orders in ? is considered. The adjustment of the coefficients of the quantum corrections plays a crucial role on this particular Hawking radiation. The obtained tunneling rate indicates that the radiation is not pure thermal anymore, and hence correlations of outgoing quanta are capable of carrying away information encoded within them. Finally, we show in detail that when the linear dilaton black hole completely evaporates through such a particular radiation, entropy of the radiation becomes identical with the entropy of the black hole, which corresponds to “no information loss”.     

Hawking radiation and entropy in de Sitter spacetime

Using the analytic extension method, we study Hawking radiation of an (n+4)-dimensional Schwarzschild-de Sitter black hole. Under the condition that the total energy is conserved, taking the reaction of the radiation of particles to the spacetime into consideration and considering the relation between the black hole event horizon and cosmological horizon, we obtain the radiation spectrum of de Sitter spacetime. This radiation spectrum is no longer a strictly pure thermal spectrum. It is related to the change of the Bekenstein-Hawking (B-H) entropy corresponding the black hole event horizon and cosmological horizon. The result satisfies the unitary principle. At the same time, we also testify that the entropy of de Sitter spacetime is the sum of the entropy of black hole event horizon and the one of cosmological horizon.     

Migration of supermassive black holes in galactic nuclei

The migration of central black holes in galactic nuclei through their encounters with galactic globular clusters is studied. The black hole moves in the field of the galactic bulge with a fixed potential. The dependences of the black-hole drift amplitude on orbital parameters of the globular cluster, its mass, and bulge parameters have been found. The drift amplitude of the central black hole can reach several parsecs in our Galaxy and several tens of parsecs in early-type (Sa) and late-type (Sc) spiral galaxies.     

Effect of holographic principle and generalized uncertainty principle on the semiclassical Parikh-Wilczek tunneling radiation of black holes

In the present paper, based on the generalized uncertainty principle, the Parikh-Wilczek black hole tunneling radiation is studied. It is shown that the black hole tunneling radiation receives a correction. Furthermore a bound on the tunneling approach, is shown to be valid when, based on the holographic principle, a bound applied to the black hole entropy.     

Generalized uncertainty principle and Bekenstein-Hawking entropy in tunneling rate of Kerr black hole

We study the effects of the generalized uncertainty principle in the tunneling formalism for Hawking radiation to evaluate the quantum-corrected Hawking temperature and entropy for a Kerr black hole. By assumption of a spatially flat universe accompanied with expansion of metric, the modified area and entropy of Kerr black hole are calculated and we could obtain an expression for entropy of black hole that is changing with respect to time and Bekenstein-Hawking temperature.     

The fundamental cosmic distance scale: state of the art and the Gaia perspective

In recent papers we had developed a unified picture of black hole entropy and curvature which was shown to lead to Hawking radiation. It was shown that for any black hole mass, holography implies a phase space of just one quantum associated with the interior of the black hole. Here we study extremal rotating and charged black holes and obtain unique values for ratios of angular momentum to entropy, charge to entropy, etc. It turns out that these ratios can be expressed in terms of fundamental constants in nature, having analogies with other physical systems, like in condensed matter physics.