arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.10023gr-qc
收藏

对数修正$R^2$引力中的虫洞结构

Wormhole Structures in Logarithmic-Corrected $R^2$ Gravity

I. Fayyaz, M. Farasat Shamir

摘要:

本文在重力修正的$R^2$重力模型框架下,寻找构造静态虫洞几何的可行形函数。讨论了各向异性压力、各向同性压力和正压压力下物质源维持的渐近平坦虫洞解。对于各向异性的情况,我们考虑了三个形状函数,并计算了零能量条件和弱能量条件以及它们的区域。此外,对于正压和各向同性压力,我们找到了解析的形函数,并讨论了它的性质。为了形成可穿越的虫洞几何形状,我们谨慎地选择了$f(R)$引力模型中涉及的参数值。我们明确表明,我们的虫洞解决方案违反了不存在定理,即使对数校正。我们讨论了所有的物理性质,通过图形分析,得出的结论是,虫洞的解决方案与相对论形式主义可以很好地证明与对数修正。

英文摘要:

This paper is devoted to find the feasible shape functions for the construction of static wormhole geometry in the frame work of logarithmic-corrected $R^2$ gravity model. We discuss the asymptotically flat wormhole solutions sustained by the matter sources with anisotropic pressure, isotropic pressure and barotropic pressure. For anisotropic case, we consider three shape functions and evaluate the null energy conditions and weak energy conditions graphically along with their regions. Moreover, for barotropic and isotropic pressures, we find shape function analytically and discuss its properties. For the formation of traversable wormhole geometries, we cautiously choose the values of parameters involved in $f(R)$ gravity model. We show explicitly that our wormhole solutions violates the non-existence theorem even with logarithmic corrections. We discuss all physical properties via graphical analysis and it is concluded that the wormhole solutions with relativistic formalism can be well justified with logarithmic corrections.

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。

↑