In this paper, Morris Thorne wormholes are considered in the context of $f(R)$ gravity. A shape function is defined as $b(r)=r_0(1-k)+k\frac{r_0^2}{r}$, where $k$ is constant. The equation of state is considered as $p_t=-\rho$ and $f(R)$ function is derived. The wormhole solutions are obtained and energy conditions are examined. Further, the $f(R)$ model is found to be consistent with local gravity tests and stability of cosmological perturbations and late-time de Sitter point. Cosmological evolution is also explored using Friedman-Robertson-Walker (FRW) metric in $f(R)$ gravity.

中文翻译：

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宇宙学上可行的 f(R) 模型和虫洞解决方案

在本文中，Morris Thorne 虫洞被认为是在$F(R)$重力。形函数定义为$b(r)=r_0(\mathrm{1个}-k)+k\frac{r_0^{\mathrm{2个}}}{r}$， 在哪里$k$是常数。状态方程被认为是$p_{吨}=-\rho$和$F(R)$函数是派生的。获得虫洞解决方案并检查能量条件。此外，$F(R)$发现模型与局部引力测试和宇宙学扰动的稳定性以及晚期德西特点一致。还使用 Friedman-Robertson-Walker (FRW) 度量探索宇宙演化$F(R)$重力。