Damghan University
Astronomical Society of IranIranian Journal of Astronomy and Astrophysics2322-49246120190401The phase transition of corrected black hole with f(R) gravityانتقال فاز سیاه چاله تعمیم یافته با گرانش( f(R1815210.22128/ijaa.2019.342.1055ENMohammadRostamiDepartment of Physics&lrm;, &lrm;North Tehran Branch&lrm;, &lrm;Islamic Azad University&lrm;, &lrm;Tehran&lrm;, &lrm;Iran.JafarSadeghiDepartment of Physics, University of MazandaranSedighehMirabotalebiDepartment of Physics, North Tehran Branch, Islamic Azad University, Tehran, Iran.Amir AliMasoudiDepartment of Physics, Alzahra University, Tehran, Iran.Journal Article20191030In this letter, we consider static black hole in f(R) gravity.<br />We take advantage from corrected entropy and temperature and investigate such black hole. Finally, we study the $ P - V $ critically and phase transition of corrected black hole with respect to entropy and temperature. Here also, we obtain the heat capacity for the static black hole in $ f(R) $ gravity. This calculation help us to investigate some singularity.<br />We have shown that the corrections exist for any black hole, but they are important for a small black holes and negligible for the large black holes. The advantage of a static black hole in $ f(R) $ gravity is its holographic picture, which is a van der Waals fluid. Then, We have shown that in the presence of corrections there is still a van der Waals fluid as a dual picture.<br />The critical values of event horizon radius for phase transitions are shown due to the corrections of entropy and temperature.<br />We have some figures which show the phase transition and $ P - V $ critically.https://ijaa.du.ac.ir/article_152_e26cb129b4163749762fc63251538928.pdf