The phase transition of corrected black hole with f(R) gravity
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 obtai...
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| Format: | Article |
| Language: | English |
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Damghan university
2019-04-01
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| Series: | Iranian Journal of Astronomy and Astrophysics |
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| Online Access: | https://ijaa.du.ac.ir/article_152_e26cb129b4163749762fc63251538928.pdf |
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| author | Mohammad Rostami Jafar Sadeghi Sedigheh Mirabotalebi Amir Ali Masoudi |
| author_facet | Mohammad Rostami Jafar Sadeghi Sedigheh Mirabotalebi Amir Ali Masoudi |
| author_sort | Mohammad Rostami |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-59c58176a55e42cfa5daa4b24fb9fe20 |
| institution | Kabale University |
| issn | 2322-4924 2383-403X |
| language | English |
| publishDate | 2019-04-01 |
| publisher | Damghan university |
| record_format | Article |
| series | Iranian Journal of Astronomy and Astrophysics |
| spelling | doaj-art-59c58176a55e42cfa5daa4b24fb9fe202025-01-12T10:11:31ZengDamghan universityIranian Journal of Astronomy and Astrophysics2322-49242383-403X2019-04-01611810.22128/ijaa.2019.342.1055152The phase transition of corrected black hole with f(R) gravityMohammad Rostami0Jafar Sadeghi1Sedigheh Mirabotalebi2Amir Ali Masoudi3Department of Physics‎, ‎North Tehran Branch‎, ‎Islamic Azad University‎, ‎Tehran‎, ‎Iran.Department of Physics, University of MazandaranDepartment of Physics, North Tehran Branch, Islamic Azad University, Tehran, Iran.Department of Physics, Alzahra University, Tehran, Iran.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.https://ijaa.du.ac.ir/article_152_e26cb129b4163749762fc63251538928.pdfthe static black holephase transitionvan der waals behaviorcorrected of entropy and temperature |
| spellingShingle | Mohammad Rostami Jafar Sadeghi Sedigheh Mirabotalebi Amir Ali Masoudi The phase transition of corrected black hole with f(R) gravity Iranian Journal of Astronomy and Astrophysics the static black hole phase transition van der waals behavior corrected of entropy and temperature |
| title | The phase transition of corrected black hole with f(R) gravity |
| title_full | The phase transition of corrected black hole with f(R) gravity |
| title_fullStr | The phase transition of corrected black hole with f(R) gravity |
| title_full_unstemmed | The phase transition of corrected black hole with f(R) gravity |
| title_short | The phase transition of corrected black hole with f(R) gravity |
| title_sort | phase transition of corrected black hole with f r gravity |
| topic | the static black hole phase transition van der waals behavior corrected of entropy and temperature |
| url | https://ijaa.du.ac.ir/article_152_e26cb129b4163749762fc63251538928.pdf |
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