TY - JOUR
ID - 152
TI - The phase transition of corrected black hole with f(R) gravity
JO - Iranian Journal of Astronomy and Astrophysics
JA - IJAA
LA - en
SN - 2322-4924
AU - Rostami, Mohammad
AU - Sadeghi, Jafar
AU - Mirabotalebi, Sedigheh
AU - Masoudi, Amir Ali
AD - Department of Physics&lrm;, &lrm;North Tehran Branch&lrm;, &lrm;Islamic Azad University&lrm;, &lrm;Tehran&lrm;, &lrm;Iran.
AD - Department of Physics, University of Mazandaran
AD - Department of Physics, North Tehran Branch, Islamic Azad University, Tehran, Iran.
AD - Department of Physics, Alzahra University, Tehran, Iran.
Y1 - 2019
PY - 2019
VL - 6
IS - 1
SP - 1
EP - 8
KW - The static black hole
KW - Phase transition
KW - Van der Waals behavior
KW - corrected of entropy and temperature
DO - 10.22128/ijaa.2019.342.1055
N2 - 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.
UR - https://ijaa.du.ac.ir/article_152.html
L1 - https://ijaa.du.ac.ir/article_152_e26cb129b4163749762fc63251538928.pdf
ER -