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arXiv 0806.3504gr-qc
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Lyra几何中畴壁的引力场

Gravitational field of domain wall in Lyra geometry

F. Rahaman, P. Ghosh

摘要:

本文研究了标准规范下基于Lyra几何的含时位移矢量畴壁,即位移矢量$f^*_i = [ β(t), 0,0,0]$。场论能量动量张量被认为是零压力垂直于壁。本文给出了标量场$ϕ$的爱因斯坦方程的精确解,其中势$V(ϕ)$描述了平面对称畴壁的引力场。我们已经看到,平行于壁的超曲面($ z = constant $)是三维de-sitter空间。实验粒子所受的引力场是吸引的。

英文摘要:

In this paper, we study the domain wall with time dependent displacement vectors based on Lyra geometry in normal gauge i.e. displacement vector $f^*_i = [ β(t), 0,0,0]$. The field theoretic energy momentum tensor is considered with zero pressure perpendicular to the wall. We find an exact solutions of Einstein equation for a scalar field $ϕ$ with a potential $V(ϕ)$ describing the gravitational field of a plane symmetric domain wall. We have seen that the hyper surfaces parallel to the wall ($ z = constant $) are three dimensional de-sitter spaces. It is also shown that the gravitational field experienced by test particle is attractive.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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