Hawking Radiation As Tunneling For The High-Dimensional Black Holes With ANVZ Method

In this paper,the Angheben-Nadalini-Vanzo-Zerbini(ANVZ)covariance method is used to study the tunneling radiation of the high-dimensional axisymmetric black hole.Because of the drag effect of the coordinate system in the time and space of the axisymmetric black hole,a reasonable physical image should be described in the towed coordinate system.So we do the towed coordinate transform in rotating black hole.By solving the Hamilton-Jacobi equation and separating the variables,the radial motion equations of the tuned particles are obtained.The tunneling rate of the black hole and the temperature of the Hawking radiation are obtained by using the near field approximation and the distance of the proper pure space.It is worth emphasizing that there is a covariate results eventually.At present,the ANVZ covariate method has been widely used in the study of tunneling radiation in static and steady black holes.However,it has not been seen that the ANVZ covariance method has been used to study the coverage of high-dimensional rotating black hole tunneling.Therefore,the innovation of this paper is to extend the ANVZ covariance method to the Black-Plane,modified Schwarzschild black hole,the five-dimensional Kerr-G?del black hole and the rotating Myers-Perry black hole tunneling study,and get the correct tunneling rate and Hawking temperature.After verification,this conclusion is consistent with the results obtained by other methods.In the first chapter,we introduce the research background of black hole tunneling radiation and the research methods of black hole tunneling radiation,including Parikh and Wilczek's quantum tunneling method(zero geodesic method),Hamilton-Jacobi method and improved Hamilton-Jacobi method(ANVZ covariate method).In the second chapter,the ANVZ covariance method is used to study the tunneling radiation of Black-Plane and modified Schwarzschild black hole.The tunneling radiation of the modified Schwarzschild black hole is studied by two different coordinates and fully validates the covariance of the ANVZ method.In the third chapter,the ANVZ method is used to study the Kerr-G?del black hole,and the tunneling radiation of the Myers-Perry black hole,and the interaction of the self-gravitational force of the Myers-Perry black hole is studied.Finally,we summarize and prospect for this paper on the basis of the above theoretical research.In conclusion,the covariance of black hole tunneling rate and Hawking temperature are obtained by using ANVZ covariate method.And considering the effect of reaction on tunneling,the results show that the tunneling rate of black hole is related to Bekenstein-Hawking entropy of black hole.