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具有$f(Q, T) = αQ + βT + γT^2$的扩展对称远平行引力中的虫洞几何

Wormhole Geometries in Extended Symmetric Teleparallel Gravity with $f(Q, T) = αQ + βT + γT^2$

Sara Rastgoo, Foad Parsaei

arXiv 2607.23716首次发表:更新:

AI 中文总结

研究具有$f(Q, T) = αQ + βT + γT^2$的扩展对称远平行引力中的静态和球对称虫洞构型,通过对度规变分作用量推导修正场方程,该框架为构建现实虫洞提供可行领域,开辟连接修正引力与时空拓扑天体物理特征的新途径。

AI 中文摘要

在本研究中,我们研究了最近提出的一类扩展对称远平行引力中的静态和球对称虫洞构型,其特征函数形式为$f(Q,T)=\alpha Q+\beta T+\gamma T^{2}$,其中$Q$是非度规标量,$T$是能量 - 动量张量的迹,$(\alpha,\beta,\gamma)$是常数耦合参数。通过对度规变分作用量,我们推导了修正场方程并将其转化为类似爱因斯坦形式,包含依赖于$Q$和$T$的额外几何贡献。我们得出结论,$f(Q,T)=\alpha Q+\beta T+\gamma T^{2}$框架为构建物理上现实的虫洞提供了一个可行的领域,无需严重违反能量条件,为连接修正引力现象学与非平凡时空拓扑的天体物理特征开辟了新途径。

英文摘要

In this study, we study static and spherically-symmetric wormhole configurations within the recently proposed class of extended symmetric teleparallel gravities characterised by the functional form $f(Q,T)=αQ+βT+γT^{2}$, where $Q$ is the non-metricity scalar, $T$ is the trace of the energy-momentum tensor, and ($α,β,γ$) are constant coupling parameters. By varying the action with respect to the metric, we derive the modified field equations and cast them in an effective Einstein-like form containing additional geometric contributions that depend on $Q$ and $T$. We conclude that the $f(Q,T)=αQ+βT+γT^{2}$ framework offers a viable arena for constructing physically realistic wormholes without invoking severe energy condition violations, opening new pathways for connecting modified gravity phenomenology with astrophysical signatures of non-trivial spacetime topologies.

Comments9 pages, 4 figures

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