Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-Time
In the present paper, we compute the conservation laws of the Vaidya-Bonner geodesic space-time metric in aRiemannian space and carry out the moving frame method for this metric. We obtain the connection forms andcurvature 2-forms, using the first and second Cartan's structure equations. Fina...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2022-09-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_254841_4f4d68240f93f1a69f38b7032b73e7bd.pdf |
| _version_ | 1811180304847601664 |
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| author | Davood Farrokhi Rohollah Bakhshandeh-Chamazkoti Mehdi Nadjafikhah |
| author_facet | Davood Farrokhi Rohollah Bakhshandeh-Chamazkoti Mehdi Nadjafikhah |
| author_sort | Davood Farrokhi |
| collection | DOAJ |
| description | In the present paper, we compute the conservation laws of the Vaidya-Bonner geodesic space-time metric in aRiemannian space and carry out the moving frame method for this metric. We obtain the connection forms andcurvature 2-forms, using the first and second Cartan's structure equations. Finally, the Ricci scalar tensor and the components of Einstein curvature are calculated. |
| first_indexed | 2024-04-11T06:48:05Z |
| format | Article |
| id | doaj.art-8b70f4a4d8584db39a9b3848a624e3dd |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-04-11T06:48:05Z |
| publishDate | 2022-09-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-8b70f4a4d8584db39a9b3848a624e3dd2022-12-22T04:39:17ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002022-09-01193657610.22130/scma.2022.550731.1080254841Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-TimeDavood Farrokhi0Rohollah Bakhshandeh-Chamazkoti1Mehdi Nadjafikhah2Department of Mathematics, Karaj Branch, Islamic Azad University, karaj, Iran.Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran.School of Mathematics, Iran University of Science and Technology, Tehran, Iran.In the present paper, we compute the conservation laws of the Vaidya-Bonner geodesic space-time metric in aRiemannian space and carry out the moving frame method for this metric. We obtain the connection forms andcurvature 2-forms, using the first and second Cartan's structure equations. Finally, the Ricci scalar tensor and the components of Einstein curvature are calculated.https://scma.maragheh.ac.ir/article_254841_4f4d68240f93f1a69f38b7032b73e7bd.pdfconservation lawsgeodesicriemannian metricmoving frame |
| spellingShingle | Davood Farrokhi Rohollah Bakhshandeh-Chamazkoti Mehdi Nadjafikhah Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-Time Sahand Communications in Mathematical Analysis conservation laws geodesic riemannian metric moving frame |
| title | Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-Time |
| title_full | Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-Time |
| title_fullStr | Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-Time |
| title_full_unstemmed | Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-Time |
| title_short | Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-Time |
| title_sort | conservation laws and moving frame method of vaidya bonner space time |
| topic | conservation laws geodesic riemannian metric moving frame |
| url | https://scma.maragheh.ac.ir/article_254841_4f4d68240f93f1a69f38b7032b73e7bd.pdf |
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