The phase transition of corrected black hole with f(R) gravity
نویسندگان
1 Department of Physics‎, ‎North Tehran Branch‎, ‎Islamic Azad University‎, ‎Tehran‎, ‎Iran.
2 Department of Physics, University of Mazandaran
3 Department of Physics, North Tehran Branch, Islamic Azad University, Tehran, Iran.
4 Department of Physics, Alzahra University, Tehran, Iran.
doi
10.22128/ijaa.2019.342.1055چکیده
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.
