In this paper, we introduce static black hole with accounting of $f\left(R\right)$ gravity. First, we study thermal properties and phase transition of corresponding black hole. Also, here we do correction to the entropy and temperature at same time in above mentioned black hole. Second step, we obtain such corrected thermodynamical properties and study the $P-V$ critically and phase transition. We also investigate the effect of correction term on the critical point and stability of the system. Finally, we compare the obtained results from corrected and uncorrected of thermodynamical quantities.

中文翻译：

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静态黑洞 $F（\mathrm{[R}）$ 具有热校正和相变的重力

在本文中，我们介绍了静态黑洞与 $F（\mathrm{[R}）$重力。首先，我们研究相应黑洞的热性质和相变。另外，在这里我们同时对上述黑洞中的熵和温度进行校正。第二步，我们获得了校正后的热力学性质，并研究了$P-V$关键和相变。我们还研究了校正项对系统的临界点和稳定性的影响。最后，我们比较校正后和未校正后的热力学量所获得的结果。