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arXiv 2012.00258gr-qchep-th
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无迹$f(R,T)$引力中的可穿越虫洞

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

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

摘要:

我们提出了一个可穿越虫洞的解决方案,使用无痕$f(R,T)$引力理论。在$f(R,T)$引力中,Einstein-Hilbert作用量中的Ricci标量$R$被替换为$R$的函数和能量动量张量$T$的迹.无痕版本的$f(R,T)$引力产生了一个可能的虫洞几何形状,而不需要“奇异物质”,这违反了因果关系的原则。使用一个物理上似乎合理的分析虫洞的形状函数,无痕场方程导致遵守弱能量条件在非常明确的间隔耦合常数$λ$的$f(R,T)=R+2λT$的形式。我们的解决方案导致其他表现良好的能量条件,考虑状态方程$p_r=ωρ$中参数$ω$的一些可能值,其中$p_r$是径向压力,$ρ$是密度。能量条件在$λ< -4π$和$ω> -1$范围内得到满足。通过体积积分量词的计算,我们可以看到这个虫洞是可以穿越的,并且尊重因果关系,因为它内部的奇异物质的数量可以任意小。

英文摘要:

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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