In the present work, a new shape function is proposed inside modified $f\left(R\right)$ gravity and General Relativity in wormhole (WH) geometry. The shape function obeyed all the desired conditions of WH geometry. The equation of state (EoS) parameter, anisotropy parameter and the energy conditions are computed. The tangential null energy conditions and the weak energy condition are validated, as well as the radial energy conditions, which demonstrates the nonappearance of exotic matter due to modified gravity allied with such a new proposal.

中文翻译：

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一个新的形状功能，用于虫洞 $F（\mathrm{[R}）$ 引力与广义相对论

在目前的工作中，提出了一种新的形状函数 $F（\mathrm{[R}）$虫洞（WH）几何中的重力和广义相对论。形状函数符合WH几何的所有所需条件。计算了状态方程（EoS）参数，各向异性参数和能量条件。验证了切向零能量条件和弱能量条件以及径向能量条件，这表明与这样的新提议相关联的，由于重力改​​变而引起的奇特物质的不出现。