Black Hole Thermal Radiation And Its Area Spectrum In Quantum Corrected Spacetim

Black hole thermodynamics is the intersection of gravity and quantum physics.There are some difficult problems in black hole thermodynamics such as information loss.It is generally believed that solving the problem of black hole thermodynamics requires a further integration of gravity and quantum physics.The quantum tunneling model of Hawking radiation provides a possible method to solve the information paradox.The study of Hawking radiation and quantum correction of black hole area spectra is helpful to understand the quantum properties of black hole thermodynamics and the difficult problems of black hole thermodynamics.In this paper,we investigate the effects of quantum effects on black hole radiation,black hole entropy and black hole area spectrum,and analyze the information conservation and radiation surplus in the process of black hole radiation.There are two main works.First,the quantum correction of quantum tunneling radiation of black hole is studied.The general solution of tunneling action is given for high dimensional Schwarzschild black holes.Specifically,the difference between the tunneling of 5-d black hole and 4-d black hole is analyzed and compared.In addition,for the Hayward black hole,the tunneling radiation spectra of particles are studied using WKB second order approximation,and the constraint conditions of the parameters of the black hole are obtained.The results show that the linear element parameter₀and the remaining mass of the black hole are both minimal scale and should be understood as quantum gravitational effects.At the end of this work,quantum tunneling of rotating Bardeen-Ads black holes is preliminarily discussed.Secondly,we study the quantum gravity effects of the corrected entropy spectrum and area spectrum of Kerr-Newman black hole in the gravity’s rainbow space-time.Firstly,we select a common gravity’s rainbow function,introduce it into the black hole metric and calculate the tunnel action.Then,by using Bohr-Sommerfeld quantization method,we get an equally spaced entropy spectrum,which is in agreement with the classical black hole results.Then,the corrected black hole temperature is obtained by surface gravity,and the results show that the corrected temperature is lower than the classical one.Then,according to the first law of thermodynamics,the black hole entropy expression including the logarithm correction term is obtained.The black hole area spectrum is obtained by combining the black hole entropy formula with the black hole entropy spectrum.The results show that the area spectrum of the black hole in gravity’s rainbow is no longer equally spaced,and the spacing is smaller than the classical area spectrum.Finally,we discuss the gravity’s rainbow correction of the radiative residual of black holes,and give examples of other gravity’s rainbow functions.There are still some shortcomings and issues that need to be studied in this article.In the first work,it is very difficult to obtain the event horizon of the rotating Bardeen Ads black hole.Therefore,the precise integration of the particle tunneling radiance of the black hole has not been given yet.For the second task,it is hoped that the rainbow gravity correction can be further applied to regular black holes,in order to study the correction of residual radiation from regular black holes.