论文标题
D维的物质演化的边缘捕获和抗捕获的表面
Marginally trapped and anti-trapped surfaces for matter evolution in D-dimensions
论文作者
论文摘要
在本文中,我们探讨了由有或没有宇宙学常数的D量二维中均匀粉尘的演变而产生的边缘捕获和边缘抗捕获的表面的形成,这是通过此类表面的分析表达式可以看出的。我们获得了正常与地平线的规范的封闭形式表达式,这些表达式决定了它们的因果性质,并查看了这些表面进化的几个有趣特征,这些特征与四维对应物有显着不同。我们获得了Ashtekar-Badrikrihnan的动态范围区域平衡法(间距表面)的表达式,该法针对D量量的球形对称粉尘演化而定。
In this paper, we explore the formation of the marginally trapped and marginally anti-trapped surfaces that arise from the evolution of homogeneous dust in D-dimensions with and without the cosmological constant, this is seen through the analytical expressions for such surfaces. We obtain closed form expressions for the Norm of the normal to the Horizon that decides their causal nature and also look at several interesting features of these surface evolution that are significantly different from the four dimensional counterpart. We obtain the expressions for the Ashtekar-Badrikrihnan's Area-balance law for dynamical horizon (spacelike surface) tailored for the case of spherically symmetric dust evolution in D-dimensions.