%0 Journal Article
%T The phase transition of corrected black hole with f(R) gravity
%J Iranian Journal of Astronomy and Astrophysics
%I Damghan University
Astronomical Society of Iran
%Z 2322-4924
%A Rostami, Mohammad
%A Sadeghi, Jafar
%A Mirabotalebi, Sedigheh
%A Masoudi, Amir Ali
%D 2019
%\ 04/01/2019
%V 6
%N 1
%P 1-8
%! The phase transition of corrected black hole with f(R) gravity
%K The static black hole
%K Phase transition
%K Van der Waals behavior
%K corrected of entropy and temperature
%R 10.22128/ijaa.2019.342.1055
%X 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.
%U https://ijaa.du.ac.ir/article_152_e26cb129b4163749762fc63251538928.pdf