论文标题
线性$ f \ left（r，t \ right）$重力
Non-exotic traversable wormhole solutions in linear $f\left(R,T\right)$ gravity
论文作者
论文摘要
在这项工作中，我们以$ f \ left（r，t \右）的线性形式分析了可穿越的虫孔溶液= r+λt$重力满足整个时空的空，弱，弱，强和主流能量条件（分别为NEC，WEC，SEC和DEC）。这些解决方案是通过对虫洞模型的自由参数的完全分析参数空间分析获得的，即控制红移和形状函数程度的指数，蠕虫孔喉咙$ r_0 $的半径，Redshift函数的值，在喉咙$ζ_0$的Redshift函数的值，以及qupling参数$ $ came $ cagplage $λ$。推导这些自由参数的界限，为整个时空满足能量条件，并提供了两个明确的解决方案。即使违反了其中一些界限，导致在某些临界半径$ r_c> r_0 $中违反了NEC，仍然可以通过与能量条件仍然满足的区域的外部真空度相匹配，通过与外部真空度相匹配找到与物理相关的虫洞解决方案。为此，我们根据考虑的$ f \ left（r，t \ right）$的形式推断出一组连接条件，并提供一个明确的示例。这些结果似乎表明，在$ f \ lest（r，t \右）$理论的情况下，可以实现各种各样的非虫洞溶液，而无需进行微调。
In this work we analyze traversable wormhole solutions in the linear form of $f\left(R,T\right)=R+λT$ gravity satisfying the Null, Weak, Strong, and Dominant Energy Conditions (NEC, WEC, SEC, and DEC respectively) for the entire spacetime. These solutions are obtained via a fully analytical parameter space analysis of the free parameters of the wormhole model, namely the exponents controlling the degree of the redshift and shape functions, the radius of the wormhole throat $r_0$, the value of the redshift function at the throat $ζ_0$, and the coupling parameter $λ$. Bounds on these free parameters for which the energy conditions are satisfied for the entire spacetime are deduced and two explicit solutions are provided. Even if some of these bounds are violated, leading to the violation of the NEC at some critical radius $r_c>r_0$, it is still possible to find physically relevant wormhole solutions via a matching with an exterior vacuum spacetime in the region where the energy conditions are still satisfied. For this purpose, we deduce the set of junction conditions for the form of $f\left(R,T\right)$ considered and provide an explicit example. These results seem to indicate that a wide variety of non-exotic wormhole solutions are attainable in the $f\left(R,T\right)$ theory without the requirement of fine-tuning.
