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hawking radiation from the charged and magnetized BTZ black hole via covariant anomaly

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Chinese Physics B 2009年第2期18卷 462-467页

作者：曾晓雄杨树政 Institute of Theoretical Physics China West Normal University Department of Physics and Engineering Technology Sichuan University of Arts and Science

This paper discusses hawking radiation from the charged and magnetized Bafiados-Teitelboim-Zanelli （BTZ） black hole from the viewpoint of anomaly, initiated by Robinson and Wilczek recently. It reconstructs the electromagnetic field tensor and the Lagrangian of the field corresponding to the source with electric and magnetic charges to redefine an equivalent charge and gauge potential. It employs the covariant anomaly cancellation method to determine the compensating fluxes of charge flow and energy-momentum tensor, which are shown to match with those of the 2- dimensional blackbody radiation at the hawking temperature exactly.

关键词： hawking radiation covariant anomaly event horizon BTZ black hole

hawking radiation from the dilaton-(anti) de Sitter black hole via covariant anomaly

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Chinese Physics B 2009年第1期18卷 62-65页

作者：韩亦文包志清洪云 College of Computer Science Chongqing Technology and Business University Math and Statistics of Chongqing Technology and Business University

Adopting the anomaly cancellation method, initiated by Robinson and Wilczek recently, this paper discusses hawking radiation from the dilaton-（anti） de Sitter black hole. To save the underlying gauge and general covariance, it introduces covariant fluxes of gauge and energy-momentum tensor to cancel the gauge and gravitational anomalies. The result shows that the introduced compensating fluxes are equivalent to those of a 2-dimensional blackbody radiation at hawking temperature with appropriate chemical potential.

关键词： hawking radiation covariant anomaly dilaton-（anti） de Sitter black hole

hawking radiation from the Schwarzschild black hole with a global monopole via gravitational anomaly

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Chinese Physics B 2008年第3期17卷 825-828页

作者：彭俊金吴双清 College of Physical Science and Technology Central China Normal University

This paper derives the hawking flux from the Schwarzschild black hole with a global monopole by using Robinson and Wilczek＇s method. Adopting a dimensional reduction technique, it can describe the effective quantum field in the （3 ＋ 1）-dimensional global monopole background by an infinite collection of the （1 ＋ 1）-dimensional massless fields if neglecting the ingoing modes near the horizon, where the gravitational anomaly can be cancelled by the （1 ＋ 1）- dimensional black body radiation at the hawking temperature.

关键词： gravitational anomaly hawking radiation black hole global monopole

hawking radiation from gravity’s rainbow via gravitational anomaly

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Chinese Physics B 2008年第5期17卷 1629-1632页

作者：曾晓雄杨树政陈德友 Institute of Theoretical Physics China West Normal University College of Physics and Electron University of Electronic Science and Technology of China

Based on the anomaly cancellation method, initiated by Robinson and Wilczek, we investigates hawking radiation from the modified Schwarzschild black hole from gravity＇s rainbow from the anomaly point of view. Unlike the general Schwarzschild space-time, the metric of this black hole depends on the energies of probes. The obtained result shows to restore the underlying general covariance at the quantum level in the effective field, the covariant compensating flux of energy-momentum tensor, which is related to the energies of the probes, should precisely equal to that of a （1 ＋ 1）-dimensional blackbody at the hawking temperature.

关键词： hawking radiation anomaly gravity＇s rainbow event horizon

hawking radiation from Kerr-Newman-Kasuya black hole via quantum anomalies

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Chinese Physics B 2008年第6期17卷 2321-2325页

作者：何唐梅樊军辉王永久 Laboratory Center Guangzhou University Center for Astrophysics Guangzhou University Institute of Physics Hunan Normal University

We have studied the hawking radiation of the Kerr-Newman-Kasuya black hole via gauge and gravitational anomaly in the dragging coordinates. The fluxes of the electromagnetic current and the energy momentum tensor for ... 详细信息

关键词： hawking radiation Kerr Newman Kasuya black hole anomaly

hawking radiation received at infinity in higher dimensional Reissner-Nordstrom black hole spacetimes

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Chinese Physics C 2021年第8期45卷 182-189页

作者：林恺钱卫良范锡龙王斌 Elcio Abdalla Hubei Subsurface Multi-scale Imaging Key Laboratory Institute of Geophysics and GeomaticsChina University of GeosciencesWuhan 430074China Escola de Engenharia de Lorena Universidade de Sao Paulo12602-810LorenaSPBrazil Center for Gravitation and Cosmology College of Physical Science and TechnologyYangzhou UniversityYangzhou 225009China Faculadade de Engenharia de Guaratingueta Universidade Estadual PaulistaGuaratinguetaSPBrazil School of Physics and Technology Wuhan UniversityWuhan 430072China Instituto de Fisica Universidade de Sao PauloSao PauloBrazil

In this study,we investigate the hawking radiation in higher dimensional Reissner-Nordstrom black holes as received by an observer located at infinity.The frequency-dependent transmission rates,which deform the thermal radiation emitted in the vicinity of the black hole horizon,are evaluated numerically.In addition to those in four-dimensional spacetime,the calculations are extended to higher dimensional Reissner-Nordstrom metrics,and the results are observed to be sensitive to the spacetime dimension to an extent.Generally,we observe that the transmission coefficient practically vanishes when the frequency of the emitted particle approaches zero.It increases with frequency and eventually saturates to a certain value.For four-dimensional spacetime,the above result is demonstrated to be mostly independent of the metric's parameter and the orbital quantum number of the particle,when the location of the event horizon,rh,and the product of the charges of the black hole and the particle qQ are known.However,for higher-dimensional scenarios,the convergence becomes more gradual.Moreover,the difference between states with different orbital quantum numbers is observed to be more significant.As the magnitude of the product of charges qQ becomes more significant,the transmission coefficient exceeds 1.In other words,the resultant spectral flux is amplified,which results in an accelerated process of black hole evaporation.The relationship of the calculated outgoing transmission coefficient with existing results on the greybody factor is discussed.

关键词： hawking radiation Reissner-Nordstrom black hole superradiation

hawking radiation and page curves of the black holes in thermal environment

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Communications in Theoretical Physics 2021年第7期73卷 106-114页

作者： Ran Li Jin Wang School of Physics Henan Normal UniversityXinxiang 453007China Department of Chemistry SUNYStony BrookNY 11794United States of America Department of Chemistry and of Physics and Astronomy State University of New York at Stony BrookStony BrookNY 11794-3400United States of America

As realistic objects in the Universe,the black holes are surrounded by complex environment.By taking the effect of thermal environment into account,we investigate the evaporation process and the time evolutions(page curves)of the entanglement entropies of hawking radiation of various types of black holes.It is found that the black holes with the thermal environments evaporate slower than those without the environments due to the environmental contribution of the energy flux in addition to hawking radiation.For Schwarzschild black hole and Reissner-Nordstr?m black hole in flat spaces,when the initial temperature of the black hole is higher than the environment temperature,the black holes evaporate completely and the hawking radiation is eventually purified.For Schwarzschild-Ad S black hole,it will evaporate completely and the hawking radiation is purified when the environment temperature is lower than the critical temperature.Otherwise,it will reach an equilibrium state with the environment and the radiation is maximally entangled with the black hole.Our results indicate that the final state of the black hole is determined by the environmental temperature and the temporal evolution and the speed of the information purification process characterized by the page curve of the hawking radiation is also influenced by the thermal environment significantly.

关键词： hawking radiation page curve black hole thermal environment entanglement entropy

hawking radiation from a Vaidya black hole by Hamilton-Jacobi method

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Frontiers of physics 2011年第1期6卷 106-108页

作者：丁乾刘文彪 Department of Physics Institute of Theoretical Physics Beijing Normal University Beijing 100875 China

Using the Hamilton Jacobi method, hawking radiation from the apparent horizon of a dynamical Vaidya black hole is calculated. The black hole thermodynamics can be built successfully on the apparent horizon. If a relativistic perturbation is given to the apparent horizon, a similar calculation can also lead to a purely thermal spectrum, which corresponds to a modified temperature from the former. The first law of thermodynamics can also be constructed successfully at a new supersurface which has a small deviation from the apparent horizon. When the event horizon is thought as such a deviation from the apparent horizon, the expressions of the characteristic position and temperature are consistent with the previous result that asserts that thermodynamics should be built on the event horizon. It is concluded that the thermodynamics should be constructed on the apparent horizon exactly while the event horizon thermodynamics is just one of the perturbations near the apparent horizon.

关键词： Vaidya black hole hawking radiation apparent horizon event horizon thermodynamics

Refined symmetry-resolved Page curve and charged black holes

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Chinese Physics C 2024年第5期48卷 134-140页

作者：李磐凌意 Institute of High Energy Physics Chinese Academy of SciencesBeijing 100049China School of Physics University of Chinese Academy of SciencesBeijing 100049China

The Page curve plotted using the typical random state approximation is not applicable to a system with conserved quantities,such as the evaporation process of a charged black hole,during which the electric charge does not macroscopically radiate out with a uniform rate.In this context,the symmetry-resolved entanglement entropy may play a significant role in describing the entanglement structure of such a system.We attempt to impose constraints on microscopic quantum states to match the macroscopic phenomenon of charge radiation during black hole evaporation.Specifically,we consider a simple qubit system with conserved spin/charge serving as a toy model for the evaporation of charged black holes.We propose refined rules for selecting a random state with conserved quantities to simulate the distribution of charges during the different stages of evaporation and obtain refined Page curves that exhibit distinct features in contrast to the original Page curve.We find that the refined Page curve may have a different Page time and exhibit asymmetric behavior on both sides of the Page time.Such refined Page curves may provide a more realistic description for the entanglement between the charged black hole and radiation during the evaporation process.

关键词： quantum entanglement Page curve charged black hole black hole evaporation hawking radiation Schwinger effect random state average entropy