@article {
author = {Rostami, Mohammad and Sadeghi, Jafar and Mirabotalebi, Sedigheh and Masoudi, Amir Ali},
title = {The phase transition of corrected black hole with f(R) gravity},
journal = {Iranian Journal of Astronomy and Astrophysics},
volume = {6},
number = {1},
pages = {1-8},
year = {2019},
publisher = {Damghan University
Astronomical Society of Iran},
issn = {2322-4924},
eissn = {2383-403X},
doi = {10.22128/ijaa.2019.342.1055},
abstract = {In this letter, we consider static black hole in f(R) gravity.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.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.The critical values of event horizon radius for phase transitions are shown due to the corrections of entropy and temperature.We have some figures which show the phase transition and $ P - V $ critically.},
keywords = {The static black hole,Phase transition,Van der Waals behavior,corrected of entropy and temperature},
url = {https://ijaa.du.ac.ir/article_152.html},
eprint = {https://ijaa.du.ac.ir/article_152_e26cb129b4163749762fc63251538928.pdf}
}