直线加速Kinnersley黑洞中Dirac粒子的热辐射

在直线加速Kinnersley时空中,将相互耦合的Dirac方程化为二阶方程,采用新的乌龟坐标变换,在视界面附近消除二阶方程中的耦合化成了标准波动方程,得到辐射温度函数和Hawking热辐射谱. 关键词： 黑洞 Dirac方程 乌龟坐标变换 Hawking辐射     

直线加速Kinnersley黑洞中Dirac粒子的热辐射

在直线加速Kinnersley时空中，将相互耦合的Dirac方程化为二阶方程，采用新的乌龟坐标变换，在视界面附近消除二阶方程中的耦合化成了标准波动方程，得到辐射温度函数和Hawking热辐射谱.     

On particles tunneling from the Taub-NUT-AdS black hole

This paper discusses tunneling of scalar particles and Dirac particles from the Taub-NUT-AdS black hole by the Hamilton--Jacobi equation, initially used by Angheben et al, and the Dirac equation, recently proposed by Kerner and Mann. This is performed in the dragging coordinate frame so as to avoid the ergosphere dragging effect. A general form is obtained for the temperature of scalar and Dirac particles tunneling from the Taub-NUT-Ads black hole, which is commensurate with other methods as expected.     

Hawking radiation of scalar and Dirac quanta from a Kerr black hole

Unruh’s technique of replacing collapse by boundary conditions on the past horizon (theξ-quantisation scheme) for the derivation of the well-known Hawking radiation is extended to the Kerr black hole for the scalar and especially for the spin half field. The expectation value of the energy momentum tensor is evaluated asymptotically in theξ-vacuum state yielding explicitly the net Hawking flux of scalar and spin half quanta. The appropriate statistical distribution that emerges naturally for Dirac quanta validates the ξ-scheme for fermions and confirms the association of temperature with a Kerr black hole.     

Vaidya-Bonner-de Sitter黑洞对狄拉克粒子的热辐射

分析讨论了Vaidya-Bonner-de Sitter黑洞视界附近的狄拉克方程,准确地定出了Vaidya-Bonner-de Sitter黑洞的Hawking温度和辐射谱，同时计算出事件视界方程，所得结果与用零曲面方程得到的结果一致. 关键词： 黑洞 视界 狄拉克方程 热辐射     

Hawking radiation of Dirac particles from soft-hairy black holes

In this paper, we study the Hawking radiation of Dirac particles via tunneling formalism from linearly supertranslated Schwarzschild black holes. We find that the radiation spectrum and the Hawking temperature remain the same as the one without soft hair.     

任意加速带电动态黑洞中Dirac粒子的Hawking辐射

在任意加速带电动态时空中，选取零标架、计算出旋系数，把四个耦合的Dirac方程中化成两个耦合的方程，采用Tortoise坐标变换将其两个耦合的方程变换成Tortoise坐标下的形式，在黑洞视界面附近化成了典型的波动方程，得到在视界面附近Dirac粒子的Hawking辐射温度，成功地导出了Hawking热谱公式. 关键词： Dirac方程 Hawking辐射 黑洞 Tortoise坐标变换     

Solution of Dirac equation around a charged rotating black hole

The aim of this paper is to solve the radial parts of a Dirac equation in Kerr-Newman （KN） geometry. The potential is replaced by a collection of step functions, then the reflection and transmission coefficients as well as the solution of the wave equation are obtained by using a quantum mechanical method. The result shows that the waves with different values of mass will be scatted off very differently.     

Reissner-Nordstrom黑洞中带电粒子由隧穿导致的Hawking辐射的进一步讨论

以Reissner-Nordstrom黑洞(R-N黑洞)为例，从黑洞热力学定律出发，对R-N黑洞中的带电粒子的量子隧穿效应进行了重新分析.将作用量的虚部重写成黑洞热力学定律的形式后，发现在Parikh工作框架下的量子隧穿效应与黑洞热力学的第一、第二定律有潜在的联系；而且，如果认为量子隧穿过程为可逆过程，则量子隧穿效应中的结果与黑洞热力学第一、第二定律是一致的.换而言之，Parikh的结论只对可逆过程成立. 关键词： Reissner-Nordstrom黑洞 黑洞热力学定律 隧穿 可逆过程     

Remarks on Hawking radiation as tunneling from a uniformly accelerating black hole

Motivated by the Hamilton-Jacobi method of Angheben et al, we investigate the Hawking tunneling radiation from a uniformly accelerating rectilinear black hole for which the horizons and entropy are functions of θ. After several coordinate transformations, we conclude that when the self-gravitational interaction and energy conservation are taken into account, the actual radiation spectrum deviates from the thermal one and the tunneling rate is the function of θ though it is still related to the change of the Bekenstein-Hawking entropy.      

Charged particle's tunneling radiation from the charged BTZ black hole

An extension of the Parikh–Wilczek's semi-classical quantum tunneling method, the tunneling radiation of the charged particle from a charged BTZ black hole was investigated. Difference from the uncharged mass-less particle, the geodesics of the charged massive particle tunneling from the black hole is not light-like, but determined by the phase velocity. The derived result shows that the tunneling rate depends on the emitted particle's energy and electric charge, and takes the same functional form as uncharged particle. It also prove that the exact emission spectrum is not strictly pure thermal, but is consistent with the underlying unitary theory.     

Kerr-de Sitter黑洞任意自旋粒子的隧穿辐射及其熵修正

运用超越半经典近似理论研究了Kerr-deSitter黑洞事件视界处的任意自旋粒子的隧穿辐射,并得到了修正的Hawking温度和粒子隧穿率.利用修正的Hawking温度和迹反常理论,进一步得到了此黑洞的修正熵,结果表明,超越半经典近似理论可适用于各种自旋粒子的隧穿辐射.     

电磁直线加速动态黑洞时空中Dirac粒子的Hawking辐射

研究了作直线加速运动的电磁黑洞视界面上Dirac粒子的Hawking 辐射.首先，构造对称化零 标架，计算旋系数，导出Dirac方程，并对其进行化简.然后，通过引入广义乌龟坐标，在视 界面上将Dirac方程退耦.利用Damour-Ruffini方法，求出了温度以及热谱公式，并对所得结 果进行了讨论. 关键词： 加速动态黑洞 Dirac粒子 Dirac方程 Hawking辐射     

Fermion tunneling of charged particles from a non-static black hole in de Sitter space

Introducing a new coordinate system and choosing a set of appropriate matrices γ^μ , this paper attempts to investigate the fermion tunneling of charged particles across the event horizon from the Vaidya--Bonner de Sitter black hole. The result shows that the tunneling rate of the non-static black hole is related not only to the change of Bekenstein--Hawking entropy but also to the integral of the changing horizon, which violates unitary theory and is different from the stationary case.     

对Reissner-Nordstr?m-anti-de Sitter黑洞Hawking隧穿辐射的研究

在考虑粒子间的自引力相互作用后, 首先采用Parikh-Wilczek的半经典隧穿方法对带电粒子与不带电粒子在Reissner-Nordstrm-anti-de Sitter黑洞视界处的隧穿辐射特征进行了研究. 其次, 推广复路径方法对该黑洞的辐射谱进行研究. 两种方法所得的结果都支持Parikh-Wilczek的观点, 即黑洞的隧穿率Bekenstein-Hawking熵变有关, 真实的辐射谱不是纯热谱. 关键词： 带电黑洞 隧穿率 自引力修正 复路径法     

Charged particle's tunneling from a dilaton black hole

Hawking radiation viewed as a semi-classical tunneling process of charged particles from the event horizon of the Garfinkle–Horne dilaton black hole is investigated by taking into account not only energy conservation but also electric charge conservation. Our results show that when the effect of the emitted massive charged particle's self-gravitation is incorporated, the tunneling rate is related to the change of the black hole's Bekenstein–Hawking entropy and the emission spectrum deviates from the purely thermal spectrum.     

Hawking radiation of spin-1 particles from a three-dimensional rotating hairy black hole

We study the Hawking radiation of spin-1 particles (so-called vector particles) from a three-dimensional rotating black hole with scalar hair using a Hamilton–Jacobi ansatz. Using the Proca equation in the WKB approximation, we obtain the tunneling spectrum of vector particles. We recover the standard Hawking temperature corresponding to the emission of these particles from a rotating black hole with scalar hair.