摘要
Quasinormal modes(QNMs)for massless and massive Dirac perturbations of Born-Infeld black holes(BHs)in higher dimensions are investigated.Solving the corresponding master equation in accordance with hypergeometric functions and the QNMs are evaluated.We discuss the relationships between QNM frequencies and spacetime dimensions.Meanwhile,we also discuss the stability of the Born-Infeld BH by calculating the temporal evolution of the perturbation field.Both the perturbation frequencies and the decay rate increase with increasing dimension of spacetime n.This shows that the Born-Infeld BHs become more and more unstable at higher dimensions.Furthermore,the traditional finite difference method is improved,so that it can be used to calculate the massive Dirac field.We also elucidate the dynamic evolution of Born-Infeld BHs in a massive Dirac field.Because the number of extra dimensions is related to the string scale,there is a relationship between the spacetime dimension n and the properties of Born-Infeld BHs that might be advantageous for the development of extra-dimensional brane worlds and string theory.
作者
Hong Ma
Jin Li
马洪;李瑾(College of Physics and Electronic Information Engineering,Qinghai Normal University,Xining 810000,China;Joint Research Center for Physics,Lanzhou University and Qinghai Normal University,Xining,810000,China;Department of Physics,Chongqing University,Chongqing 401331,China)
基金
Supported by Natural Science Foundation Project of Qinghai Office of Science and Technology(2019-ZJ-973Q,2019-ZJ-A10)
National Natural Science Foundation of China(11873001)。