Quantum Tunneling Radiation of Charged Massive Particle from Reissner-Nordström-NUT Spacetime

By extending the semi-classical quantum tunneling method, the tunneling radiation of the massive charged particle from a charged Reissner-Nordström-NUT 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 result shows that the tunneling rate depends on the emitted particle’s energy, NUT parameter and electric charge, and takes the same functional form as uncharged particle. It also proves that the exact emission spectrum is not strictly pure thermal, but is consistent with the underlying unitary theory.     

Tunneling Radiation of a Torus-Like Black Hole in Anti-de Sitter Space-Time

An extension of the Parikh-Wilczek's semi-classical quantum tunneling method, the tunneling radiation of the charged particle from a torus-like black hole is 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 proves also that the exact emission spectrum is not strictly pure thermal, but is consistent with the underlying unitary theory. PACS Numbers: 04.70.Dy, 97.60.Lf, 05.30.Ch.     

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.     

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.     

Tunneling of Charged Massive Particles from Taub-NUT-Reissner-Nordström-AdS Black Holes

We apply the null-geodesic method to investigate tunneling radiation of charged and magnetized massive particles from Taub-NUT-Reissner-Nordström black holes endowed with electric as well as magnetic charges in Anti-de Sitter (AdS) spaces. The geodesics of charged massive particle tunneling from the black hole is not lightlike, but can be determined by the phase velocity. We find that the tunneling rate is related to the difference of Bekenstein-Hawking entropies of the black hole before and after the emission of particles. The entropy differs from just a quarter area at the horizon of black holes with NUT parameter. The emission spectrum is not precisely thermal anymore and the deviation from the precisely thermal spectrum can bring some information out, which can be treated as an explanation to the information loss paradox. The result can also be treated as a quantum-corrected radiation temperature, which is dependent on the black hole background and the radiation particle’s energy and charges.     

Kerr-Newman黑洞隧穿辐射的新研究

在文章[吴迪等2013中国科学物理学力学天文学43115]中,从有质量粒子的Lagrangian作用量出发,对Kerr转动黑洞中类时的和类光的测地线方程给出了全新的统一推导,结果表明对转动黑洞隧穿辐射的研究不需要局限地采用拖曳系.这项工作完全克服了先前研究中存在的不足,使得Parikh-Wilczek半经典隧穿方法更加完善和自洽.本文将这一工作推广到转动带电黑洞情形,对Kerr-Newman黑洞中有质量带电粒子测地线方程做了新的推导,并对其隧穿辐射重新做了研究.     

Charged Particle’s Tunneling in a Modified Reissner-Nordstrom Black Hole

In the tunneling framework of Hawking radiation, charged particle’s tunneling in the modified Reissner-Nordstrom black hole from gravity’s rainbow is investigated. To this end, following the Schwarzschild solution in gravity’s rainbow, the metric of the modified Reissner-Nordstrom black hole is given. In the tunneling process, the metric fluctuation is taken into account, due to not only the energy conservation and electric charge conservation, but also the spacetime quantum effects. The calculation shows out that the emission rate satisfies the first law of black hole thermodynamics and is consistent with an underlying unitary theory. In addition, it is found that the entropy of the modified black hole is different to the Benkestein-Hawking entropy and the quantum corrections of the entropy appears.     

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     

Hawking Tunneling Radiation of a Particle with Electric and Magnetic Charge from Kerr-Newman-Kasuya Black Hole

Extending the Parikh＇s quantum tunneling method of an uncharged particle, we investigate the quantum radiation characteristics of a particle with electric and magnetic charge via tunneling from the event horizon of the Kerr-Newman Kasuya black hole. The derived result supports the Parikh＇s opinion and the correction to the thermal spectrum is of precisely the form that satisfies the underlying unitary quantum theory, and finally provides a might explanation to the black hole information puzzle.     

Tunneling Radiation Characteristic of the Charged Particle from the Reissner–Nordström–anti de Sitter Black Hole

Applying Parikh’s semi-classical quantum tunneling method, the tunneling radiation characteristic of the charged particle from the event horizon of the Reissner–Nordström–anti de Sitter black hole is researched. The result shows the derived spectrum is not purely thermal one, but is consistent with the underlying unitary theory, which gives a might explanation to the information loss paradox and is the correct amendment to the Hawking radiation.     

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     

On Hawking Radiation via Tunneling from the Reissner-Nordström-de Sitter Black Hole with a Global Monopole

In this paper, we start from the Lagrangian analysis on the action to naturally produce the geodesic equation of the massive particle via tunneling. Then, basing on the new definition for the geodesic equation, we revisit the Hawking radiation of the charged massive particle via tunneling from the Reissner-Nordström-de Sitter black hole with a global monopole. In our treatment, the geodesic equation of the charged massive particle is defined uniformly with that of the massless particle, which overcomes the shortcomings of its previous definition, and is more suitable for the tunneling mechanism. It is noteworthy that, the highlight of our work is a new and important development of the Parikh-Wilczek’s tunneling method.     

“Charged” particle’s tunneling from rotating black holes

The behavior of a scalar field theory near the event horizon in a rotating black hole background can be effectively described by a two dimensional field theory in a gauge field background. Based on this fact, we proposal that the quantum tunneling from rotating black hole can be treated as “charged” particle’s tunneling process in its effectively two dimensional metric. Using this viewpoint and considering the corresponding “gauge charge” conservation, we calculate the non-thermal tunneling rate of Kerr black hole and Myers–Perry black hole, and results are consistent with Parikh–Wilczek’s original result for spherically symmetric black holes. Especially for Myers–Perry black hole which has multi-rotation parameters, our calculation fills in the gap existing in the literature applying Parikh–Wilczek’s tunneling method to various types black holes. Our derivation further illuminates the essential role of effective gauge symmetry in Hawking radiation from rotating black holes.     

Hawking Radiation of the Charged Particle via Tunneling from the Kaluza-Klein Black Hole

In this paper, by applying the Lagrangian analysis on the action, we first redefine the geodesic equation of the charged massive particle. Then, basing on the new definition of the geodesic equation, we revisit the Hawking radiation of the charged massive particle via tunneling from the event horizon of the Kaluza-Klein black hole. In our treatment, the geodesic equation of the charged massive particle is defined uniformly with that of the massless particle, which overcomes the shortcomings of its previous definition, and is more suitable for the tunneling mechanism. The highlight of our work is a new and important development for the Parikh-Wilczek’s tunneling method.     

Tunneling across dilaton–axion black holes

In this work we study both charged and uncharged particles tunneling across the horizon of spherically symmetric dilaton–axion black holes using Parikh–Wilczek tunneling formalism. Such black hole solutions have much significance in string theory based models. For different choices of the dilaton and axion couplings with the electromagnetic field, we show that the tunneling probability depends on the difference between initial and final entropies of the black hole. Our results, which agree with similar results obtained for other classes of black holes, further confirm the usefulness of Parikh–Wilczek formalism to understand Hawking radiation. The emission spectrum is shown to agree with a purely thermal spectrum only in the leading order. The modification of the proportionality factor in the area–entropy relation in the Bekenstein–Hawking formula has been determined.     

The Hawking radiation of the charged particle via tunnelling from the axisymmetric Sen black hole

Extending Parikh's semi-classical quantum tunnelling model, this paper has studied the Hawking radiation of the charged particle via tunnelling from the horizon of the axisymmetric Sen black hole. Different from the uncharged massless particle, the geodesics of the charged massive particle tunnelling from the horizon is not light-like. The derived result supports Parikh's opinion and provides a correct modification to Hawking strictly thermal spectrum developed by the fixed background space-time and not considering the energy conservation and the self-gravitation interaction.     

Hawking temperature of Kerr–Newman–AdS black hole from tunneling

Using the null-geodesic tunneling method of Parikh and Wilczek, we derive the Hawking temperature of a general four-dimensional rotating black hole. In order to eliminate the motion of ? degree of freedom of a tunneling particle, we have chosen a reference system that is co-rotating with the black hole horizon. Then we give the explicit result for the Hawking temperature of the Kerr–Newman–AdS black hole from the tunneling approach.     

Hawking Radiation of Charged Particles via Tunneling from a Cylindrically Symmetric Black Hole in Anti-de Sitter Space-Time

Applying Parikh-Wilzcek＇s semi-classical quantum tunneling model, we study the Hawking radiation of charged particles as tunneling from the event horizon of a cylindrically symmetric black hole in anti-de Sitter space-time. The derived result shows that the tunneling rate of charged particles is related to the change of Bekenstein-Hawking entropy and that the radiation spectrum is not strictly pure thermal after taking the black hole background dynamical and self-gravitation interaction into account, but is consistent with the underlying unitary theory.     

Holographic Brownian motion in 2+1 dimensional hairy black holes

In this paper, we investigate the dynamics of a heavy quark for plasmas corresponding to three dimensional hairy black holes. We utilize the AdS/CFT correspondence to study the holographic Brownian motion of this particle with different kinds of hairy black holes. For an uncharged black hole in the low frequency limit we derive analytic expressions for the correlation functions and the response functions and verify that the fluctuation–dissipation theorem holds in the presence of a scalar field against a metric background. In the case of a charged black hole, we think that the results are similar to that derived for an uncharged black hole.     

Hawking Radiation of Charged Particles via Tunneling from Arbitrarily Dimensional Reissner-Nordström Black Holes

Parikh-Wilzcek’s recent work, which treats the Hawking radiation as semi-classical tunneling process from the event horizon of four dimensional Schwarzshild and Reissner- Nordström black hole, indicates that self-gravitation gives a correction to the Hawking precisely thermal spectrum and the tunneling rate is related to the change of Bekenstein- Hawking, but satisfies the underlying unitary theory. In this paper, we extend the model to study the Hawking radiation of charged particles via tunneling from arbitrarily dimensional Reissner-Nordström black holes, and obtain the same result as Parikh-Wilzcek’s. Meanwhile, in this framework, we point out that the first law of the black hole thermodynamics is reliable and the information conservation is only suitable for the reversible process.