On some non-static plane symmetric perfect fluid solutions in f(R,T) gravity
We address the problem of finding non-static plane symmetric perfect fluid solutions in the f(R,T)theory of gravity, where R and T respectively are the Ricci scalar and trace of the energy momentum tensor. In order to obtain solutions, a classification has been proposed for such spacetimes. Solution...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-08-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722003692 |
| _version_ | 1818047819322228736 |
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| author | Abu Bakr Mehmood Fiaz Hussain Ashfaque H. Bokhari Muhammad Ramzan Muhammad Faryad Tahir Hussain |
| author_facet | Abu Bakr Mehmood Fiaz Hussain Ashfaque H. Bokhari Muhammad Ramzan Muhammad Faryad Tahir Hussain |
| author_sort | Abu Bakr Mehmood |
| collection | DOAJ |
| description | We address the problem of finding non-static plane symmetric perfect fluid solutions in the f(R,T)theory of gravity, where R and T respectively are the Ricci scalar and trace of the energy momentum tensor. In order to obtain solutions, a classification has been proposed for such spacetimes. Solutions are then calculated in each of these classes, which include special Bianchi-Type I and static plane symmetric geometries. The static geometries are no surprise, but importantly, non-static spacetime metrics have also been found. It is well known that the class of isometries are the source of deriving the conservation laws. Therefore, we work out the Killing symmetries to determine the Lie symmetry groups admitted by the obtained spacetimes. As a result of our analysis, we find that the obtained spacetimes admit 10, 7, 6, 5, 4 and 3 Killing vector fields. |
| first_indexed | 2024-12-10T10:11:51Z |
| format | Article |
| id | doaj.art-d61be496b1f64211aec886a23ebafc9e |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-10T10:11:51Z |
| publishDate | 2022-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-d61be496b1f64211aec886a23ebafc9e2022-12-22T01:53:06ZengElsevierResults in Physics2211-37972022-08-0139105676On some non-static plane symmetric perfect fluid solutions in f(R,T) gravityAbu Bakr Mehmood0Fiaz Hussain1Ashfaque H. Bokhari2Muhammad Ramzan3Muhammad Faryad4Tahir Hussain5Department of Physics, Lahore University of Management Sciences, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, PakistanDepartment of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia; Corresponding author.Department of Mathematics, The Islamia University of Bahawalpur, PakistanDepartment of Physics, Lahore University of Management Sciences, PakistanDepartment of Mathematics, University of Peshawar, PakistanWe address the problem of finding non-static plane symmetric perfect fluid solutions in the f(R,T)theory of gravity, where R and T respectively are the Ricci scalar and trace of the energy momentum tensor. In order to obtain solutions, a classification has been proposed for such spacetimes. Solutions are then calculated in each of these classes, which include special Bianchi-Type I and static plane symmetric geometries. The static geometries are no surprise, but importantly, non-static spacetime metrics have also been found. It is well known that the class of isometries are the source of deriving the conservation laws. Therefore, we work out the Killing symmetries to determine the Lie symmetry groups admitted by the obtained spacetimes. As a result of our analysis, we find that the obtained spacetimes admit 10, 7, 6, 5, 4 and 3 Killing vector fields.http://www.sciencedirect.com/science/article/pii/S2211379722003692Non-static plane symmetric solutionsPerfect fluidf(R, T) theory of gravity |
| spellingShingle | Abu Bakr Mehmood Fiaz Hussain Ashfaque H. Bokhari Muhammad Ramzan Muhammad Faryad Tahir Hussain On some non-static plane symmetric perfect fluid solutions in f(R,T) gravity Results in Physics Non-static plane symmetric solutions Perfect fluid f(R, T) theory of gravity |
| title | On some non-static plane symmetric perfect fluid solutions in f(R,T) gravity |
| title_full | On some non-static plane symmetric perfect fluid solutions in f(R,T) gravity |
| title_fullStr | On some non-static plane symmetric perfect fluid solutions in f(R,T) gravity |
| title_full_unstemmed | On some non-static plane symmetric perfect fluid solutions in f(R,T) gravity |
| title_short | On some non-static plane symmetric perfect fluid solutions in f(R,T) gravity |
| title_sort | on some non static plane symmetric perfect fluid solutions in f r t gravity |
| topic | Non-static plane symmetric solutions Perfect fluid f(R, T) theory of gravity |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722003692 |
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