Brane世界中的宇宙学方程  

Cosmological dynamic equation in the Brane-world

作　　者：胡永红[1] 林树渊[1] 刘鑫[1] 靳海芹[1] 张多[1] 

机构地区：[1]湖北大学物理学与电子技术学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2004年第2期119-122,共4页Journal of Hubei University：Natural Science

摘　　要：首先介绍了相关概念———外赋曲率,引入Brane世界宇宙模型.然后由Brane度规和五维能动张量推得五维爱因斯坦方程,积分得到Brane边界条件,应用到爱因斯坦方程得到与Friedmann类似的方程.由爱因斯坦方程和能动张量守恒方程得到Brane宇宙标度因子的演化规律.最后,在将Brane张量和体宇宙学常数进行微调后,分别在高能和低能范围里讨论修正了的Friedmann方程的解及其中各项的意义.Introduced a model of Brane world and an important conception——extrinsic curvature. Then obtained the five-dimensional Einstein equation from Brane metric and five-dimensional energy-momentum tensor. Integrate it, got two Brane junction conditions. Applied to the Einstein equation, found an equation analogous to Friedmann equation. Then got the evolution of the Brane world scale factor from the Einstein equation and the energy-momentum conservation equation. At last, after the fine-tuning of the Brane tensor and the bulk cosmological constant, discussed the solution of the corrected Friedmann equation in high and low energy scale cases and the physical meaning of each term of the corrected Friedmann equation.

关 键 词：Brane世界 宇宙学方程 外赋曲率 能动张量 Hubble常数 标度因子 

分 类 号：O412.1[理学—理论物理]