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arXiv 1801.05022gr-qc
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f(R)引力中的虫洞几何与Noether对称性

Wormhole Geometry and Noether Symmetry in f(R) Gravity

M. Sharif, Iqra Nawazish

摘要:

本文在$f(R)$引力场中,利用Noether对称性方法研究了静态可穿越虫洞的几何结构.我们采取完美的流体分布,并制定相应的守恒量的一般形式,幂律和指数$f(R)$模型的对称发电机。在每种情况下,我们使用常数和变量红移函数评估虫洞的解决方案。我们用图形的方法分析了形函数的行为、构造的$f(R)$模型的生存性和虫洞解的稳定性。虫洞解的物理存在性可以通过理想流体的零/弱能量条件和有效能量动量张量的零能量条件来检验。构造虫洞解决方案的图形解释,确保物理上可行的和可穿越的虫洞的存在,为所有模型。结果表明,所构造的虫洞在大多数情况下是稳定的。

英文摘要:

This paper investigates the geometry of static traversable wormhole through Noether symmetry approach in $f(R)$ gravity. We take perfect fluid distribution and formulate symmetry generators with associated conserved quantities corresponding to general form, power-law and exponential $f(R)$ models. In each case, we evaluate wormhole solutions using constant and variable red-shift functions. We analyze the behavior of shape function, viability of constructed $f(R)$ model and stability of wormhole solutions graphically. The physical existence of wormhole solutions can be examined through null/weak energy conditions of perfect fluid and null energy condition of the effective energy-momentum tensor. The graphical interpretation of constructed wormhole solutions ensures the existence of physically viable and traversable wormholes for all models. It is concluded that the constructed wormholes are found to be stable in most of the cases.

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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