A classification of Bianchi Type I solutions via conformal vector fields and energy conditions in modified teleparallel gravity
The focus of this research is to investigate conformal vector fields (CVFs) of Bianchi type I space–times in modified teleparallel gravity (MTG). In order to determine such vector fields, we make a classification of said space–times. As a result, we discover thirty-one distinct Bianchi type I classe...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-03-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723000608 |
| _version_ | 1797870608478896128 |
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| author | Shabeela Malik Fiaz Hussain Taotao Sui Arshad Ali Sirajul Haq Muhammad Ramzan |
| author_facet | Shabeela Malik Fiaz Hussain Taotao Sui Arshad Ali Sirajul Haq Muhammad Ramzan |
| author_sort | Shabeela Malik |
| collection | DOAJ |
| description | The focus of this research is to investigate conformal vector fields (CVFs) of Bianchi type I space–times in modified teleparallel gravity (MTG). In order to determine such vector fields, we make a classification of said space–times. As a result, we discover thirty-one distinct Bianchi type I classes in the MTG. With the aid of conformal symmetry adopting a direct integration approach, we thoroughly scrutinize each case and find that the only class that formulates conformally non-flat space–times admits proper CVFs. In the rest of the cases, space–times either become conformally flat or tend to admit homothetic vector fields (HVFs) or Killing vector fields (KVFs). The overall dimension of CVFs for the Bianchi type I space–times in the MTG has turned out to be three, four, five, six, and fifteen. The physical parameters associated with each solution have also been calculated. Moreover, to discuss physically viably resulting solutions, we have to classify the solutions via energy conditions. |
| first_indexed | 2024-04-10T00:30:08Z |
| format | Article |
| id | doaj.art-af3ffc96c99340ef9c7e66effb9544c0 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-10T00:30:08Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
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| series | Results in Physics |
| spelling | doaj.art-af3ffc96c99340ef9c7e66effb9544c02023-03-15T04:27:44ZengElsevierResults in Physics2211-37972023-03-0146106267A classification of Bianchi Type I solutions via conformal vector fields and energy conditions in modified teleparallel gravityShabeela Malik0Fiaz Hussain1Taotao Sui2Arshad Ali3Sirajul Haq4Muhammad Ramzan5Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, KPK, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, PakistanCollege of Physics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaCollege of Physics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China; Corresponding author.Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, KPK, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, PakistanThe focus of this research is to investigate conformal vector fields (CVFs) of Bianchi type I space–times in modified teleparallel gravity (MTG). In order to determine such vector fields, we make a classification of said space–times. As a result, we discover thirty-one distinct Bianchi type I classes in the MTG. With the aid of conformal symmetry adopting a direct integration approach, we thoroughly scrutinize each case and find that the only class that formulates conformally non-flat space–times admits proper CVFs. In the rest of the cases, space–times either become conformally flat or tend to admit homothetic vector fields (HVFs) or Killing vector fields (KVFs). The overall dimension of CVFs for the Bianchi type I space–times in the MTG has turned out to be three, four, five, six, and fifteen. The physical parameters associated with each solution have also been calculated. Moreover, to discuss physically viably resulting solutions, we have to classify the solutions via energy conditions.http://www.sciencedirect.com/science/article/pii/S2211379723000608Modified teleparallel gravityConformal vector fieldsDirect integration techniqueBianchi type I space–time |
| spellingShingle | Shabeela Malik Fiaz Hussain Taotao Sui Arshad Ali Sirajul Haq Muhammad Ramzan A classification of Bianchi Type I solutions via conformal vector fields and energy conditions in modified teleparallel gravity Results in Physics Modified teleparallel gravity Conformal vector fields Direct integration technique Bianchi type I space–time |
| title | A classification of Bianchi Type I solutions via conformal vector fields and energy conditions in modified teleparallel gravity |
| title_full | A classification of Bianchi Type I solutions via conformal vector fields and energy conditions in modified teleparallel gravity |
| title_fullStr | A classification of Bianchi Type I solutions via conformal vector fields and energy conditions in modified teleparallel gravity |
| title_full_unstemmed | A classification of Bianchi Type I solutions via conformal vector fields and energy conditions in modified teleparallel gravity |
| title_short | A classification of Bianchi Type I solutions via conformal vector fields and energy conditions in modified teleparallel gravity |
| title_sort | classification of bianchi type i solutions via conformal vector fields and energy conditions in modified teleparallel gravity |
| topic | Modified teleparallel gravity Conformal vector fields Direct integration technique Bianchi type I space–time |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723000608 |
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