Higher-dimensional inhomogeneous composite fluids: energy conditions
Higher-dimensional inhomogeneous composite fluids: energy conditions
复制标题
高维非均匀复合流体：能量条件
DOI：
10.1093/ptep/ptab116
复制
发表时间：
2021
影响因子：
3.5
通讯作者：
Rituparno Goswami
中科院分区：
文献类型：
--
作者：
B. P. Brassel;S. Maharaj;Rituparno Goswami
在相对论天体物理背景下，研究了高维霍金-埃利斯I型和II型物质场的能量条件。研究了由各向异性、剪切应力、不消失粘度以及零尘和零弦能量密度组成的高维非均匀复合流体分布的零能、弱能、优势能和强能条件。这些条件在物质变量中表示为六个方程的系统，其中高维$N$的存在是显式的。$(N-2)$-球的几何形状影响了能量条件的形式和结构。本文还导出了高维II型流体的能量条件，并表明在一定的限制条件下，可以恢复I型流体的能量条件。以前对四维的所有处理都包含在我们的工作中。
The energy conditions are studied, in the relativistic astrophysical setting, for higher-dimensional Hawking–Ellis Type I and Type II matter fields. The null, weak, dominant and strong energy conditions are investigated for a higher-dimensional inhomogeneous, composite fluid distribution consisting of anisotropy, shear stresses, non-vanishing viscosity as well as a null dust and null string energy density. These conditions are expressed as a system of six equations in the matter variables where the presence of the higher dimension $N$ is explicit. The form and structure of the energy conditions is influenced by the geometry of the $(N-2)$-sphere. The energy conditions for the higher-dimensional Type II fluid are also generated, and it is shown that under certain restrictions the conditions for a Type I fluid are regained. All previous treatments for four dimensions are contained in our work.