Conformal motions of locally rotationally symmetric Bianchi type I space–times in f(Q) gravity
In this paper, first, we find locally rotationally symmetric (LRS) Bianchi type I solutions in symmetric teleparallel gravity, which is so-called f(Q) gravity, where f(Q) is the function of non-metricity scalar Q. To explore the solutions, we assume both linear as well as nonlinear f(Q) gravity mode...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-02-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379724000950 |
| _version_ | 1827349870568013824 |
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| author | Muhammad Jawad Ayyoub Noura Alhouiti Muhammad Ramzan Arshad Ali Akram Ali |
| author_facet | Muhammad Jawad Ayyoub Noura Alhouiti Muhammad Ramzan Arshad Ali Akram Ali |
| author_sort | Muhammad Jawad Ayyoub |
| collection | DOAJ |
| description | In this paper, first, we find locally rotationally symmetric (LRS) Bianchi type I solutions in symmetric teleparallel gravity, which is so-called f(Q) gravity, where f(Q) is the function of non-metricity scalar Q. To explore the solutions, we assume both linear as well as nonlinear f(Q) gravity models, along with some additional constraints on the components of the spacetimes. We came across twelve distinct classes of solutions for the said f(Q) gravity models. We also classify the extracted solutions according to their conformal vector fields (CVFs). The CVFs, being a generalization of the Killing vector fields (KVFs), also inherit some conservation laws. We observe the conservation of (linear, angular, or generalized) momentum, which consequently allows us to solve dynamical systems by conserved momenta. We also note the existence of proper CVFs in four cases (conformally non-flat), leaving the remaining classes of solutions to admit either homothetic vector fields (HVFs) or the KVFs. The overall dimension of CVFs for the obtained classes of solutions in f(Q) gravity is either four, five, six, or fifteen. In order to model the dynamics of extracted solutions, we find the energy density and pressure of fluid elements in each case. |
| first_indexed | 2024-03-08T00:50:30Z |
| format | Article |
| id | doaj.art-e93a85050cc24cd9acfd3a53e4b46fd2 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-08T00:50:30Z |
| publishDate | 2024-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-e93a85050cc24cd9acfd3a53e4b46fd22024-02-15T05:23:57ZengElsevierResults in Physics2211-37972024-02-0157107413Conformal motions of locally rotationally symmetric Bianchi type I space–times in f(Q) gravityMuhammad Jawad Ayyoub0Noura Alhouiti1Muhammad Ramzan2Arshad Ali3Akram Ali4Department of Mathematics, The Islamia University of Bahawalpur, PakistanDepartment of Basic Sciences, University College of Haqel, University of Tabuk, 71491 Tabuk, Saudi ArabiaDepartment of Mathematics, The Islamia University of Bahawalpur, PakistanInstitute for Advanced Study & School of Physical Science and Technology, Soochow University, Suzhou 215006, PR China; Corresponding author.Department of Mathematics, College of Science, King Khalid University, 61421 Abha, Saudi ArabiaIn this paper, first, we find locally rotationally symmetric (LRS) Bianchi type I solutions in symmetric teleparallel gravity, which is so-called f(Q) gravity, where f(Q) is the function of non-metricity scalar Q. To explore the solutions, we assume both linear as well as nonlinear f(Q) gravity models, along with some additional constraints on the components of the spacetimes. We came across twelve distinct classes of solutions for the said f(Q) gravity models. We also classify the extracted solutions according to their conformal vector fields (CVFs). The CVFs, being a generalization of the Killing vector fields (KVFs), also inherit some conservation laws. We observe the conservation of (linear, angular, or generalized) momentum, which consequently allows us to solve dynamical systems by conserved momenta. We also note the existence of proper CVFs in four cases (conformally non-flat), leaving the remaining classes of solutions to admit either homothetic vector fields (HVFs) or the KVFs. The overall dimension of CVFs for the obtained classes of solutions in f(Q) gravity is either four, five, six, or fifteen. In order to model the dynamics of extracted solutions, we find the energy density and pressure of fluid elements in each case.http://www.sciencedirect.com/science/article/pii/S2211379724000950Conformal motionsLRS Bianchi type I solutionsf(Q) gravity |
| spellingShingle | Muhammad Jawad Ayyoub Noura Alhouiti Muhammad Ramzan Arshad Ali Akram Ali Conformal motions of locally rotationally symmetric Bianchi type I space–times in f(Q) gravity Results in Physics Conformal motions LRS Bianchi type I solutions f(Q) gravity |
| title | Conformal motions of locally rotationally symmetric Bianchi type I space–times in f(Q) gravity |
| title_full | Conformal motions of locally rotationally symmetric Bianchi type I space–times in f(Q) gravity |
| title_fullStr | Conformal motions of locally rotationally symmetric Bianchi type I space–times in f(Q) gravity |
| title_full_unstemmed | Conformal motions of locally rotationally symmetric Bianchi type I space–times in f(Q) gravity |
| title_short | Conformal motions of locally rotationally symmetric Bianchi type I space–times in f(Q) gravity |
| title_sort | conformal motions of locally rotationally symmetric bianchi type i space times in f q gravity |
| topic | Conformal motions LRS Bianchi type I solutions f(Q) gravity |
| url | http://www.sciencedirect.com/science/article/pii/S2211379724000950 |
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