一种新广义乌龟坐标变换下n维带电的动态Vaidya黑洞隧穿辐射特征
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摘要
Hamilton-Jacobi方程是一个半经典的基础方程,可以用来表述各种粒子的半经典动力学行为,有助于我们了解霍金辐射的起源.作者将使用半经典Hamilton-Jacobi方程和新旧两种不同的乌龟坐标变换,对n维带电的动态Vaidya黑洞的标量粒子和费米子的隧穿进行研究.计算可以得到了黑洞事件视界附近粒子的隧穿率以及霍金温度,说明Hamilton-Jacobi方程可以用于各种自旋粒子的动力学研究,并通过比较研究证明文中所提及的tortoise坐标变换更为合理,更具有物理意义.
Hamilton-Jacobi equation is a semi-classical foundation equation.It can describe various particle's semi-classical dynamic behavior,and it is helpful for us to understand the origin of Hawking radiation.This article will use semi-classical Hamilton-Jacobi equation and two kinds of general tortoise coordination transformation to study the scalar particle's and fermions' tunneling of n-dimensional charged Vaidya black hole.We can calculate the tunneling rate and the Hawking temperature near the horizon.The Hamilton-Jacobi equation can depict various particle's semi-classical dynamic behavior.Compared with the old condition,we find the new general tortoise coordination transformation more reasonable.
Hamilton-Jacobi equation is a semi-classical foundation equation.It can describe various particle's semi-classical dynamic behavior,and it is helpful for us to understand the origin of Hawking radiation.This article will use semi-classical Hamilton-Jacobi equation and two kinds of general tortoise coordination transformation to study the scalar particle's and fermions' tunneling of n-dimensional charged Vaidya black hole.We can calculate the tunneling rate and the Hawking temperature near the horizon.The Hamilton-Jacobi equation can depict various particle's semi-classical dynamic behavior.Compared with the old condition,we find the new general tortoise coordination transformation more reasonable.
引文
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[6]李盈霖,胡桂清,冯中文,李国平,邓娟.Kerr-anti-de Sitter黑洞在一种新tortoise坐标变换下的辐射特征.[J]西华师范大学学报(自然科学版),2012,33(1):31-35
[7]杨树政,林恺.Hamilton-Jacobi方程和来自Kerr-TAUB-NUT黑洞的隧穿辐射[J].中国科学G,2010,40(4):387-512
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[11]LIN K,YANG S Z.Fermions Tunneling from Non-stationary Dilaton-Maxwell Black Hole via General Tortoise CoordinateTransformation[J].Chin Phy Lett.2009,26:100401-1.
[12]LIN K,YANG S Z.Fermion Tunneling from Higher-Dimensional Black Holes[J].Phys Rev D.2009,79:064035
[13]RARITA W,Schwinger J.On a Theory of Particles With Half-Integral Spin[J].Phys Rev.1941,60:61
[2]赵峥.黑洞的热性质与时空的异性[M].北京:北京师范大学出版社,1999
[3]HAWKING S W.Black Hole Explosions[J].Nature,1974,30:248.
[4]HAWKING S W.Particle Creation by Black Holes[J].Commun Math Phys,1975,43:199-220.
[5]张靖仪,赵峥.电磁直线加速动态黑洞时空中Dirac粒子的Hawking辐射[J].物理学报,2003,8,45:2098-2010
[6]李盈霖,胡桂清,冯中文,李国平,邓娟.Kerr-anti-de Sitter黑洞在一种新tortoise坐标变换下的辐射特征.[J]西华师范大学学报(自然科学版),2012,33(1):31-35
[7]杨树政,林恺.Hamilton-Jacobi方程和来自Kerr-TAUB-NUT黑洞的隧穿辐射[J].中国科学G,2010,40(4):387-512
[8]ZHANG J Y,Zhao Z.Charged Particles Tunneling from the Kerr-Newman Black Hole[J].Phys Lett B,2006,638:110
[9]KERNER R,MANN R B.Fermions Tunneling from Black Holes[J].Class.Quantum.Grav.2008,25:095014.
[10]KERNER R,MANN R B.Charged Fermions Tunneling from Kerr-Newman Black Holes[J].Phys Lett B,2008,665:277-283.
[11]LIN K,YANG S Z.Fermions Tunneling from Non-stationary Dilaton-Maxwell Black Hole via General Tortoise CoordinateTransformation[J].Chin Phy Lett.2009,26:100401-1.
[12]LIN K,YANG S Z.Fermion Tunneling from Higher-Dimensional Black Holes[J].Phys Rev D.2009,79:064035
[13]RARITA W,Schwinger J.On a Theory of Particles With Half-Integral Spin[J].Phys Rev.1941,60:61