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arXiv 2305.07541gr-qc
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$f(R,T)$ 引力中的虫洞与能量条件

Wormholes and energy conditions in $f(R,T)$ gravity

Ayan Banerjee, Takol Tangphati, Anirudh Pradhan

AI总结:

本文研究了 $f(R,T)$ 修正引力中虫洞的存在性,通过指定红移函数和形状函数找到了精确虫洞解,结果表明虫洞的存在需要奇异物质。

摘要:

我们探讨了在 $f(R,T)$ 引力背景下虫洞的存在性。$f(R,T)$ 理论是一种曲率-物质耦合的修正引力,依赖于 Ricci 标量 $R$ 和应力-能量张量迹 $T$ 的任意函数。本文采用物质拉格朗日密度($\mathcal{L}_m= \mathcal{P}$ 和 $\mathcal{L}_m= p_r$)的两种选择,研究各自对虫洞结构的影响。通过适当指定红移函数和形状函数,我们找到了该理论中多种精确虫洞解。结果表明,对于两类虫洞,能量密度在整个时空中始终为正,而径向压力为负。这意味着在 $f(R,T)$ 引力中存在虫洞需要奇异物质。

英文摘要:

We explore the existence of wormholes in the context of $f(R,T)$ gravity. The $f(R,T)$ theory is a curvature-matter coupled modified gravity that depends on an arbitrary function of the Ricci scalar $R$ and the trace of the stress-energy tensor $T$. In this work, we adopt two different choices for the matter Lagrangian density ($\mathcal{L}_m= \mathcal{P}$ and $\mathcal{L}_m= p_r$) and investigate the impact of each one on wormhole structure. By adequately specifying the redshift function and the shape function, we found a variety of exact wormhole solutions in the theory. Our finding indicates that, for both classes of wormholes the energy density is always positive throughout the spacetime, while the radial pressure is negative. This means exotic matter is necessary for the existence of wormholes in $f(R,T)$ gravity.

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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