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arXiv 0704.3140gr-qc
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天琴座几何中的非静态宇宙弦

Non static cosmic strings in Lyra geometry

Farook Rahaman

摘要:

在天琴座几何的背景下,研究了局域和整体非静态宇宙弦的引力场。定域弦的特征是有一个能量动量张量,它的唯一非零分量是$T_{tt} = T_{zz}$。由于线性化的爱因斯坦方程在形式上类似于麦克斯韦方程组,外部解不依赖于源的径向分布,因此狄拉克d函数被用来近似局部宇宙弦的能量动量张量沿z轴的径向分布:$T_{ab} = δ(x) δ(y)diag (σ, 0, 0, σ) $,$σ$是弦的能量密度[A.Vilenkin. Phys.Rep.(1985)121,263]。对于一个整体弦,能量动量张量分量是从一个复杂的标量场y的作用量密度与Maxican帽势一起计算的。整体弦的引力场在本质上是吸引的。

英文摘要:

The gravitational field of both local and global non static cosmic strings in the context of Lyra geometry are investigated. Local strings are characterized by having an energy momentum tensor whose only non null components are $T_{tt} = T_{zz}$ . As linearized Einstein equations are formally analogous to the Maxwell equations, the exterior solution does not depend on the radial distribution of the source and hence a Dirac d function was used to approximate the radial distribution of the energy momentum tensor for a local cosmic string along the z-axis: $T_{ab} = δ(x) δ(y)diag (σ, 0, 0, σ) $, $σ$being the energy density of the string [A.Vilenkin. Phys.Rep.(1985)121,263]. For a global string, the energy momentum tensor components are calculated from the action density for a complex scalar field y along with a Maxican hat potential. The gravitational field of the global string is shown to be attractive in nature.

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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