Quantum Thermal Effect of Dirac Particles in a Nonuniformly Rectilinearly Accelerating Black Hole with Electric Charge, Magnetic Charge, and Cosmological Constant

The Hawking radiation of Dirac particles in an arbitrarily rectilinearly accelerating Kinnersley black hole with electromagnetic charge and cosmological constant is investigated by using the generalized tortoise coordinate transformation. Both the location and the temperature of the event horizon depend on the time and the polar angle. The Hawking thermal radiation spectrum of Dirac particles is also derived.     

Kerr-Newman时空中荷电Dirac粒子的Hawking辐射

本文研究任意Kerr-Newman黑洞视界曲面上荷电Dirac粒子的Hawking辐射,首先构造了一套“对称零标架”,用这套零标架计算了旋系数,导出了Dirac方程,在视界曲面附近解Dirac方程。得到荷电Dirac粒子四分量波函数的显示表式。利用解析延拓技巧,最后得到荷电Dirac粒子Hawking辐射的热谱公式。 关键词：     

Asymmetry of Hawking Radiation of Dirac Particles in a Charged Vaidya–de Sitter Black Hole

The Hawking radiation of Dirac particles in a charged Vaidya–de Sitter black hole is investigated by using the method of generalized tortoise coordinate transformation. It is shown that the Hawking radiation of Dirac particles does not exist for P₁, Q₂ components, but for P₂, Q₁ components it does. Both the location and the temperature of the event horizon change with time. The thermal radiation spectrum of Dirac particles is the same as that of Klein-Gordon particles.     

Hawking Radiation of Dirac Particles in a Nonuniformly Rectilinearly Accelerating Black Hole

The Hawking radiation of Dirac particles on the event horizon of a nonuniformly rectilinearly accelerating black hole is studied in this paper. First, we construct the symmetrized null tetrad from which the spin coefficients and Dirac equation are derived. Next, by proposing generalized tortoise coordinate transformation, the decoupling problem of the Dirac equation with nonzero rest mass is solved. Finally, by analytic continuation, the Hawking thermal spectrum formula of Dirac particle for nonuniformly rectilinearly accelerating black hole is obtained.     

一般球对称动态时空中荷电Dirac粒子的Hawking辐射

研究了一般球对称动态黑洞视界附近荷电Ｄｉｒａｃ粒子的Ｈａｗｋｉｎｇ辐射，得到了确定视界面位置的方程和辐射温度，并成功地导出Ｈａｗｋｉｎｇ热谱。 关键词：     

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     

Charged fermions tunneling from regular black holes

We study Hawking radiation of charged fermions as a tunneling process from charged regular black holes, i.e., the Bardeen and ABGB black holes. For this purpose, we apply the semiclassical WKB approximation to the general covariant Dirac equation for charged particles and evaluate the tunneling probabilities. We recover the Hawking temperature corresponding to these charged regular black holes. Further, we consider the back-reaction effects of the emitted spin particles from black holes and calculate their corresponding quantum corrections to the radiation spectrum. We find that this radiation spectrum is not purely thermal due to the energy and charge conservation but has some corrections. In the absence of charge, e = 0, our results are consistent with those already present in the literature.     

Fermions tunneling from Reissner–Nordström black hole

Hawking tunneling radiation of spin ? 1/2 particles from the event horizon of the Reissner–Nordström black hole is studied. We introduce the Dirac equation of the charged particles. We further consider the gravitational interaction and back reaction of the emitted spin particles in the dynamical background space–time. The result shows that when the energy conservation and charge conservation are taken into account, the actual radiation spectrum of fermions also derivates from the thermal one and the tunneling rate is related to the change of Bekenstein–Hawking entropy.     

Quantum Radiation of a Non-stationary Kerr-Newman Black Hole in de Sitter Space-Time

Hawking radiation of Klein-Gordon and Dirac particles in a non-stationary Kerr-Newman-de-Sitter black hole is studied by introducing a new tortoise coordinate transformation. The result shows that the Fermi-Dirac radiant spectrum displays a new term that represents the interaction between the spin of spinor particles and the rotation of black holes, which is absent in the Bose-Einstein distribution of Klein-Gordon particles.     

Dirac Particles＇ Hawking Radiation from a Schwarzschild Black Hole

Considering energy conservation and the backreaction of particles to spacetime, we investigate the massless/massive Dirac particles＇ Hawking radiation from a Schwarzschild black hole, The exact expression of the emission rate near the horizon is obtained and the result indicates that Hawking radiation spectrum is not purely thermal. The result obtained is consistent with the results obtained before. It satisfies the underlying unitary theory and offers a possible mechanism to explain the information loss paradox. Whereas the improved Damour-Rufflni method is more concise and understandable,     

Barriola-Vilenkin黑洞Dirac场的广义Stefan-Boltzmann定律

利用薄膜模型研究Barriola-Vilenkin黑洞的热辐射,得到了黑洞的热辐射满足广义Stefan-Boltzmann定律的结论,导出的广义Stefan-Boltzmann系数不再是一个恒量,当截断距离以及薄膜厚度取定后,它是一个与黑洞视界附近的时空度规以及辐射粒子的径向平均泻流速率有关的比例系数.得到的Barriola-Vilenkin黑洞视界附近Dirac场的辐射能通量与薄层膜内辐射粒子的径向平均泻流速率成正比,与黑洞的质量平方成反比。     

Hawking Radiation of Dirac Particles on Rindler Horizon to a Uniformly Accelerating Observer

Following the method of Damour and Ruffini, the Hawking radiation of Dirac particles on Rindler horison to a uniformly accelerating observer is studied this paper. The temperature on Rindler horizon surface and the thermal spectrum formula of Dirac particles are obtained. The result is discussed.     

Hawking Radiation via Damour-Ruffini Method in Squashed Charged Rotating Kaluza-Klein Black Holes

Using the Damour-Ruffini method, Hawking radiation of charged particles from squashed charged rotating five-dimensional Kaluza-Klein black holes is investigated extensively. Under the generalized tortoise coordinate transformation, Hawking temperature of the black holes is calculated by using charged scalar particles and Dirac fermions respectively. We find that the obtained Hawking temperature for charged Dirac fermions is the same as for charged scalar particles. What’s more, the spectrum of Hawking radiation contains the information of the size of the extra dimension, which could provide insight for further investigation of large extra dimensions in the future.     

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.     

Einstein-Maxwell-Dilaton黑膜的狄拉克粒子辐射

分析讨论了Einstein-Maxwell-Dilaton黑膜解的视界附近的狄拉克方程.证明了在乌龟坐标变换下，该黑膜视界附近确有狄拉克粒子辐射.     

Fermions’ Tunnelling from the Reissner- Nordström-Anti-de Sitter Black Hole

Very recent work of Kerner and Mann involving fermions tunnelling from the Rindler space-time and a general non-rotating black hole is extended to the case of Reissner-Nordström-anti-de Sitter black hole. Due to the couple between the gravity field and electromagnetic field, we introduce the Dirac equation of the charged particles to determine the action of the radiation. We further consider the correction of the thermal spectrum in the unfixed background space time. It is shown that when the energy and charge conservations are considered, the tunnelling rate of fermions is also related to the change of Bekenstein-Hawking entropy, implying the underlying unitary theory is satisfied.     

Quantum field theory in black hole-type spacetimes with horizons

Using quantum field theory in black hole-type spacetimes with horizons, which includes all the black hole solutions and also some other interesting solutions in general relativity, we obtain Hawking's thermal spectrum of Dirac particles near the event horizon as well as the cosmological horizon of the spacetime.     

Massive Radiation via Tunneling in a BTZ Black Hole

Hawking radiation can usefully be viewed as a semi-classical tunneling process that originates at the black hole horizon. Massive radiation from a BTZ black hole is investigated. The conservation of energy implies the effect of self-gravitation. Viewed as a tunneling process, the emission spectrum derivates from the pure thermal spectrum, but it is consistent with an underlying unitary theory. The result is the same as that of massless particles.     

Charged Dirac Particles’ Hawking Radiation via Tunneling of Both Horizons and Thermodynamics Properties of Kerr–Newman–Kasuya–Taub–NUT–AdS Black Holes

We investigate Hawking radiation of electrically and magnetically charged Dirac particles from a dyonic Kerr–Newman–Kasuya–Taub–NUT–Anti-de Sitter (KNKTN–AdS) black hole by considering thermal characters of both the outer and inner horizons. We apply Damour–Ruffini method and membrane method to calculate the temperature and the entropy of the inner horizon of the KNKTN–AdS black hole. The inner horizon admits thermal character with positive temperature and entropy proportional to its area. The inner horizon entropy contributes to the total entropy of the black hole in the context of Nernst theorem. Considering conservation of energy, charges, angular momentum, and the back-reaction of emitting particles to the spacetime, we obtain the emission spectra for both the inner and outer horizons. The total emission rate is obtained as the product of the emission rates of the inner and outer horizons. It deviates from the purely thermal spectrum with the leading term exactly the Boltzman factor and can bring some information out. The result thus can be treated as an explanation to the information loss paradox.     

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