有限差分法在黑洞理论上的应用  

Application of Finite Difference Method to Black Hole Theory

作　　者：张钰[1] 

机构地区：[1]昆明理工大学理学院,云南昆明650500

出　　处：《昆明理工大学学报（自然科学版）》2015年第1期112-117,共6页Journal of Kunming University of Science and Technology(Natural Science)

基　　金：国家自然科学基金项目(61205205);昆明理工大学人培项目(KKSY201207053)

摘　　要：黑洞的似正规模只与描述黑洞的一些参数和背景时空有关,所以研究似正规模对于确定黑洞的特征参数以及了解黑洞的性质都具有重要的意义.本文给出了声学黑洞时空中耦合标量场扰动的微分方程.由于一般情况下扰动方程没有解析解,所以在这里就采用有限差分的方法进行数值求解,并得到了耦合标量场似正规模振荡的图像.结果显示,对于确定的角量子数l,随着耦合因子ξ的增大,声学黑洞时空中耦合标量场衰减得就越快.Quasinormal modes of black holes depend only on the parameters characterizing the black holes and the background space-time,therefore the research on the quasinormal modes plays an important role in determining the characteristic parameters of black holes and understanding the property of black holes. The differential equation for coupled scalar field perturbation in the acoustic black hole space-time is given. The perturbation equation is numerically solved by the finite difference method because the equation does not have analytic solutions in general,and the object picture of the coupled scalar quasinormal ringing is obtained. The results show that the coupled scalar field of acoustic black hole space-time damps more rapidly when the coupled factor ξ is larger for fixed angular quantum number l.

关 键 词：有限差分法 似正规模 声学黑洞 耦合标量场 

分 类 号：O241.3[理学—计算数学]