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史瓦西-德希特空间中的有质量标量场辐射
Massive Scalar Field Scattering in Schwarzschild-de Sitter Space
【摘要】 采用数值方法研究了史瓦西-德希特时空中有质量标量场方程的解。为了将场方程转化成可解的形式,引入多项式函数来拟合乌龟坐标,并讨论了宇宙视界和事件视界相距很近的情况下标量场的辐射。结果表明在乌龟坐标下,波函数类似于简谐波,而在径向坐标下,波在视界附近堆积在一起,有效势峰值处波长最大。标量场的反射系数随质量的增加而增大。
【Abstract】 The solution of massive scalar field equation is investigated via numerical method.To convert the field equation into a solvable form,we introduce the polynomial function to fit the tortoise coordinate,and discuss the scalar field scattering when the cosmological horizon approaches to the event horizon.Results show that the wave function behaves like the harmonics under the tortoise coordinate,but piles up near the horizons under the radial coordinate,while the wave length gets its maximum at the potential peak.The reflection coefficient of the scalar field increases with its mass.
【Key words】 Schwarzschild-de Sitter space; Nariai black hole; scalar field; polynomial fit;
- 【文献出处】 青岛科技大学学报(自然科学版) ,Journal of Qingdao University of Science and Technology(Natural Science Edition) , 编辑部邮箱 ,2014年05期
- 【分类号】P145.8
- 【下载频次】37