德希特时空中RN黑洞的标量场隧穿效应

郭广海， 马丽芹

(青岛科技大学 数理学院， 山东 青岛 266061)

摘要： 采用数值方法研究了处于相变点的RN黑洞在德希特时空中的标量场隧穿效应，将视界附近的势垒以阶梯形势垒代替，计算了标量场的反射系数和透射系数。结果表明:对于高能标量场，反射系数趋于零，而透射系数接近于1，即所有的标量场粒子都将透过势垒而传播到无穷远；对于低能标量场，反射增强，透射减弱。随着宇宙学常数的减小，势垒发生变化，对隧穿效应会产生一定的影响。

关键词： RN黑洞； 德希特时空； 标量场； 隧穿效应

中图分类号： O 412.3                         文献标志码： A

  Scalar Field Tunnel Effect of RN Black Hole in de Sitter Space

 GUO Guanghai, MA Liqin

（College of Mathematics and Physics, Qingdao University of Science and Technology，Qingdao 266061, China）

Abstract: The scalar field tunneling effect of RN black hole at the phase transition in de Sitter space is investigated numerically. The reflection and transmission coefficients of scalar field are calculated with the potential barrier near the horizon replaced by a stair potential. Results show that the reflection coefficient approaches to zero, while the transmission coefficient tends to one for the high energy scalar field, which implies that all of the scalar particles field will propagate to infinity through the horizon. For the low energy scalar field, the reflection is enhanced, however the transmission is weakened. With the decrease of the cosmological constant, the potential barrier changes and influences the tunnel effect in turn.

Key words: RN black hole; de Sitter space; scalar field; tunnel effect

收稿日期： 20140219

基金项目： 山东省优秀中青年科学家科研奖励基金项目（BS2012SF006）.

作者简介： 郭广海（1976—），男，副教授.