论文标题

无可透性$ f(r,t)$重力中的可穿越的虫洞

Traversable wormholes in the traceless $f(R,T)$ gravity

论文作者

Sahoo, Parbati, Moraes, P. H. R. S., Lapola, Marcelo M., Sahoo, P. K.

论文摘要

我们使用无纹状体$ f(r,t)$重力理论提出了可穿越的虫洞解决方案。在$ f(r,t)$重力中,爱因斯坦 - 希尔伯特(Einstein-Hilbert)动作中的RICCI标量$ r $被$ r $的功能和能量动量张量$ t $取代。 $ f(r,t)$重力的无可纹身版本引起了可能的虫洞闻到的闻闻,而无需“奇特物质”,这违反了因果关系的原则。使用物理上合理的ANSATZ来达到虫洞的形状功能,可露骨场方程在$ f(r,t)= r+2λt$形式的耦合常数$λ$的非常定义的间隔中符合弱的能量状况。我们的解决方案会导致其他行为良好的能源条件,考虑到状态方程中参数$ω$的某些可能值,$ p_r =ωρ$,$ p_r $是径向压力,而密度为$ρ$。能量条件在$λ<-4π$和$ω> -1 $的范围内服从。通过计算体积积分量词,人们可以看到这种虫洞可以遍历并尊重因果关系,因为其内部外来物质的量可能很小。

We present a traversable wormhole solution using the traceless $f(R,T)$ theory of gravity. In the $f(R,T)$ gravity, the Ricci scalar $R$ in the Einstein-Hilbert action is replaced by a function of $R$ and trace of the energy momentum tensor $T$. The traceless version of the $f(R,T)$ gravity gives rise to a possible wormhole geometry without need for "exotic matter", which violates the principle of causality. Using a physically plausible ansatz for the wormhole's shape function, the traceless field equations lead to compliance with the weak energy condition at very well defined intervals of the coupling constant $λ$ in the $f(R,T)=R+2λT$ form. Our solution leads to other well-behaved energy conditions considering some possible values of the parameter $ω$ in the equation of state $p_r=ωρ$, with $p_r$ being the radial pressure and $ρ$ the density. The energy conditions are obeyed in the ranges $λ< -4π$ and $ω> -1$. Through the calculation of the Volume Integral Quantifier, one sees that this wormholes can be traversable and respect the causality, since the amount of exotic matter in its interior can be arbitrarily small.

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