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2维声学黑洞与1维流体的对应研究
The Study of Correspondence Relationship between Two-dimensional Acoustic Black Hole and One-dimensional Fluid
【摘要】 研究2维声学黑洞与1维流体的对应关系,在流体力学方程的基础上推导声学度规的表达式,获得了2维dilaton引力模型中的一些精确黑洞解.计算了1维流体中的能量密度ρ,速度ν和驱动势f,还分析和讨论了这些流体参量的物理性质.
【Abstract】 The correspondence relationship between two-dimensional black holes and one-dimensional fluid is studied in this paper. The expression of acoustic metric is derived according to the hydromechanics equations,and we obtain some exact black hole solutions in two-dimensional dilaton gravity model. Moreover,the energy density ρ,speed ν and drive potential f in one-dimension fluid are calculated and the physical properties of these fluid parameters are also analyzed and discussed.
【关键词】 2维引力;
声学黑洞;
引力-流体对应;
【Key words】 two-dimensional gravity; acoustic black hole; gravity-fluid correspondence;
【Key words】 two-dimensional gravity; acoustic black hole; gravity-fluid correspondence;
【基金】 四川省教育厅自然科学重点基金(11ZA100)
- 【文献出处】 四川师范大学学报(自然科学版) ,Journal of Sichuan Normal University(Natural Science) , 编辑部邮箱 ,2016年06期
- 【分类号】O35
- 【被引频次】6
- 【下载频次】170