用量子隧穿法研究带质量四极矩静态黑洞的Hawking辐射

对带质量四极矩的静态黑洞Hawking辐射的隧穿过程进行了简单直接的推导，得到了热谱.因推导过程应用了能量守恒定律，故真正的辐射不一定是纯热的.这一结果支持了这样一种观点：隧穿的辐射携带信息是可能的. 关键词： 黑洞 辐射 隧穿 能量守恒     

静态 dilaton 黑洞中带电磁荷粒子的隧穿效应

利用Parikh 和 Wilczek的隧穿模型,在Gibbons-Maeda dilaton 黑洞时空中,通过计算带有电荷和磁荷的粒子在事件视界上的隧穿概率,研究了该黑洞的Hawking辐射.在粒子的隧穿过程中,强调了时空的能量守恒和电磁荷守恒,考虑了隧穿粒子对背景时空的反作用.计算表明,在Gibbons-Maeda dilaton 黑洞时空中,带电磁荷的粒子通过事件视界的隧穿概率取决于粒子出射前后黑洞熵的变化.这表示,黑洞辐射过程中可以满足信息守恒和量子理论的幺正性. 关键词： 黑洞 霍金辐射 量子理论     

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.     

带电带磁粒子的量子隧穿辐射

运用Parikh-Wilczek的半经典量子隧穿法,计算了带电带磁粒子穿过黑洞视界时的量子隧穿辐射谱.以带有时空拓扑缺陷的双荷Reissner-Nordstrǒm黑洞为例进行研究,计算结果表明带电带磁粒子的出射过程满足么正性原理,支持Parikh-Wilczek的结论,出射谱不再是纯热谱. 关键词： 黑洞 Hawking辐射 量子理论     

Einstein-Bumblebee引力理论中的Kerr-Sen-like黑洞玻色子隧穿辐射

Lorentz-breaking理论不仅对弯曲时空背景有影响,而且对于在弯曲时空中的玻色子和费米子的动力学方程都有一定的修正.因此,我们需要在不同的黑洞时空中对玻色子和费米子的量子隧穿辐射进行适当的修正.从而得到经过Lorentz-breaking理论修正后的黑洞Hawking温度等物理量的新表达式及其物理意义.本文根据Einstein-Bumblebee引力理论中得到的Kerr-Sen-like (KSL)黑洞时空度规,在标量场作用量中引入aether-like场矢量修正项和弯曲时空中的d’Alembert算符并应用弯曲时空中的变分原理,研究了此时空度规中的Lorentz-breaking修正项及KSL时空中自旋为零的含有Lorentz-breaking修正项的玻色子动力学方程的新形式.通过正确选择与KSL时空度规相对应的aether-like场矢量,求解修正的玻色子动力学方程,得到了修正的量子隧穿率,并在此基础上研究了含有Lorentz-breaking修正项的此黑洞的Hawking温度和Bekenstein-Hawking熵.此外,还研究了Lorentz-breaking效应对玻...     

静质量不为零的粒子的量子隧穿辐射

用量子隧穿法研究黑洞Hawking辐射，计算了静止质量不为零的粒子穿过Schwarzschild黑洞事件视界的出射率.所得结果满足幺正性原理，且与无质量粒子出射率具有相同的函数形式. 关键词： 黑洞 Hawking辐射 量子理论     

动态球对称Einstein-Yang-Mills-Chern-Simons黑洞的霍金辐射

用Hamilton-Jacobi方法研究了动态球对称Einstein-Yang-Mills-Chern-Simons 黑洞事件视界处的隧穿辐射特征及其黑洞事件视界处的温度. 其结果表明,黑洞温度及隧穿率与黑洞的固有性质及其动态特征有关. 这对于进一步研究动态黑洞的热力学性质及其相关问题是有意义的. 其方法的重要意义在于研究这类动态黑洞的霍金辐射时, 不仅适用于标量场隧穿辐射的情形, 同时也适用于研究旋量场、矢量场以及引力波的隧穿辐射. 关键词： Einstein-Yang-Mills-Chern-Simons黑洞 霍金隧穿辐射 Hamilton-Jacobi方程     

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     

Reissner-Nordstroem de Sitter黑洞的量子隧穿效应

运用Parikh的量子隧穿模型，研究了Reissner—Nordstrom de Sitter黑洞的量子隧穿效应。结果表明，在能量守恒的条件下，黑洞外视界和宇宙视界处的粒子出射率与Bekenstein—Hawking熵有关，辐射谱不再是严格的纯热谱。     

带有整体磁单极子的Barriola-Vilenkin黑洞时空中静质量不为零的粒子的量子隧穿辐射

利用量子隧穿方法研究了带有整体磁单极子的Barriola-Vilenkin黑洞时空中静质量不为零的粒子的隧穿辐射，计算出量子隧穿辐射谱与Bekenstein-Hawking熵变有关，且与无质量粒子的出射率具有相同函数形式，所得结果满足幺正性原理. 关键词： Barriola-Vilenkin黑洞 Painlevé坐标 能量守恒 量子隧穿辐射     

Tunneling effect of Dirac particles from the non-extremal black hole in <Emphasis Type="Italic">D</Emphasis> = 5, <Emphasis Type="Italic">SO</Emphasis>(6) gauged supergravity

Recent research shows that Hawking radiation from black hole horizon can be treated as a quantum tunneling process, and fermions tunneling method can successfully recover Hawking temperature. In this tunneling framework, choosing a set of appropriate matrices γ ^μ is an important technique for fermions tunneling method. In this paper, motivated by Kerner and Man’s fermions tunneling method of 4 dimension black holes, we further improve the analysis to investigate Hawking tunneling radiation from the non-extremal black hole in D = 5, SO(6) gauged supergravity by constructing a set of appropriate matrices γ ^μ for general covariant Dirac equation. Finally, the expected Hawking temperature of the black hole is correctly recovered, which takes the same form as that obtained by other methods.     

Quantum Tunneling of Dirac Particles from?the?Generalized Spherical Symmetric Evaporating Charged Black Hole

Kerner and Mann’s recent research shows that, for an uncharged and non-rotating black hole, its Hawking temperature and tunneling rate can be exactly obtained by the fermion tunneling method from its event horizon. In this paper, considering the tunneling charged particles with spin 1/2, we extend Kerner and Mann’s method to the generalized spherical symmetric evaporating charged black hole which is non-stationary. In order to investigate the fermion tunneling through the event horizon, we choose a set of appropriate matrices γ ^μ . As a result, the tunneling probability and truly effective temperature are well recovered by charged fermions tunneling from the black hole.     

Investigations on the Fermions Tunneling Radiation from?the?Charged Rotating Kaluza-Klein Spacetime

The study of Hawking radiation of fermions via tunneling is a hot spot of current topics in black hole physics. By constructing a set of appropriate matrices γ ^μ for general covariant Dirac equation, the tunneling effect of Kaluza-Klein spacetime was deeply studied. For spacetimes with different dimensions, constructing a set of appropriate γ ^μ matrices for general covariant Dirac equation is an important technique for fermions tunneling method. As a result, the tunneling probability of Dirac particles and the expected Hawking temperature of the spacetime were successfully recovered.     

Vaidya-Bonner黑洞的熵

从零曲面方程出发,得到了VaidyaBonner黑洞的视界;利用KleinGordon方程和薄膜BrickWall模型,并采用WKB近似方法,求出了VaidyaBonner黑洞的熵,所得的熵正好与该黑洞的视界面积成正比. 关键词： 黑洞 熵 薄膜Brick-Wall模型 视界     

Entropy correction to stationary black hole via fermions tunneling beyond semiclassical approximation

Recently, fermions tunneling beyond semiclassical approximation from an uncharged static black hole was investigated by Majhi, which was based on the work of Banerjee and Majhi, it was found that the black hole entropy correction can be produced as the quantum effect of a particle is taken into account. In this paper, we further extend this idea to the stationary Kerr black hole to discuss its entropy correction. To get the corrections correctly, the proportionality parameters of quantum corrections of action I _i to the semiclassical action I ₀ in this case are regarded as the inverse of the product of Planck Length and Planck Mass. The result shows that entropy corrections to the stationary black hole also include the logarithmic term and inverse area term in Bekenstein–Hawking entropy beyond semiclassical approximation.     

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.     

Entropy function approach to charged BTZ black hole

We find solution to the metric function f(r) = 0 of charged BTZ black hole making use of the Lambert function. The condition of extremal charged BTZ black hole is determined by a non-linear relation of M _e (Q) = Q ²(1 − ln Q ²). Then, we study the entropy of extremal charged BTZ black hole using the entropy function approach. It is shown that this formalism works with a proper normalization of charge Q for charged BTZ black hole because AdS₂ × S¹ represents near-horizon geometry of the extremal charged BTZ black hole. Finally, we introduce the Wald’s Noether formalism to reproduce the entropy of the extremal charged BTZ black hole without normalization when using the dilaton gravity approach.     

Synchrotron peak luminosity,black hole mass and Eddington ratio for SDSS flat-spectrum radio quasars

For a sample of 185 flat-spectrum radio quasars (FSRQs) constructed from the SDSS DR3 quasar catalog, we found a significant correlation between the synchrotron peak luminosity and both the black hole mass and Eddington ratio. This implies that the physics of its jet formation is not only tightly related with the black hole mass, but also with the accretion rate. We verify that the synchrotron peak luminosity can be a better indicator of jet emission than 5 GHz luminosity, through comparing the relationships between each of these two parameters and both black hole mass and Eddington ratio. The fundamental plane of black hole activity for our FSRQs is established as L _r ∝ L ^0.80±0.06_x M ^{−0.04±0.09}_bh with a weak dependence on black hole mass, however, the scatter is significant.

     

Effective Values of Komar Conserved Quantities and Their Applications

We calculate the effective Komar angular momentum for the Kerr-Newman (KN) black hole. This result is valid at any radial distance on and outside the black hole event horizon. The effective values of mass and angular momentum are then used to derive an identity (K_c^m=2STK_{\chi^{\mu}}=2ST) which relates the Komar conserved charge (K_c^mK_{\chi^{\mu}}) corresponding to the null Killing vector (χ ^μ ) with the thermodynamic quantities of this black hole. As an application of this identity the generalised Smarr formula for this black hole is derived. This establishes the fact that the above identity is a local form of the inherently non-local generalised Smarr formula.