A study of mixed generalized quasi-Einstein spacetimes with applications in general relativity
In the present paper we study Ricci pseudo-symmetry, Z-Ricci pseudo-symmetry and concircularly pseudo-symmetry conditions on a mixed generalized quasi-Einstein spacetime $ MG(QE)_{4} $. Also, it is proven that if $ d\neq \varLambda $, then $ MG(QE)_{4} $ spacetime does not admit heat flux, where $ d...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-08-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231260?viewType=HTML |
| _version_ | 1797690996479229952 |
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| author | Mohd Bilal Mohd Vasiulla Abdul Haseeb Abdullah Ali H. Ahmadini Mohabbat Ali |
| author_facet | Mohd Bilal Mohd Vasiulla Abdul Haseeb Abdullah Ali H. Ahmadini Mohabbat Ali |
| author_sort | Mohd Bilal |
| collection | DOAJ |
| description | In the present paper we study Ricci pseudo-symmetry, Z-Ricci pseudo-symmetry and concircularly pseudo-symmetry conditions on a mixed generalized quasi-Einstein spacetime $ MG(QE)_{4} $. Also, it is proven that if $ d\neq \varLambda $, then $ MG(QE)_{4} $ spacetime does not admit heat flux, where $ d $ and $ \varLambda $ are the function and the cosmological constant, respectively. In the end of this paper we construct a non-trivial example of $ MG(QE)_{4} $ to prove its existence. |
| first_indexed | 2024-03-12T02:07:13Z |
| format | Article |
| id | doaj.art-6eca6c04b9754e23b75af75a2dc73a6d |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-12T02:07:13Z |
| publishDate | 2023-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6eca6c04b9754e23b75af75a2dc73a6d2023-09-07T01:51:11ZengAIMS PressAIMS Mathematics2473-69882023-08-01810247262473910.3934/math.20231260A study of mixed generalized quasi-Einstein spacetimes with applications in general relativityMohd Bilal0Mohd Vasiulla1Abdul Haseeb 2Abdullah Ali H. Ahmadini 3Mohabbat Ali41. Department of Mathematical Sciences, Faculty of Applied Sciences, Umm Al Qura University, Makkah 21955, Saudi Arabia2. Department of Applied Sciences & Humanities, Jamia Millia Islamia (Central University), New Delhi 110025, India3. Department of Mathematics, Faculty of Science, Jazan University, P.O. Box 2097, Jazan 45142, Saudi Arabia3. Department of Mathematics, Faculty of Science, Jazan University, P.O. Box 2097, Jazan 45142, Saudi Arabia2. Department of Applied Sciences & Humanities, Jamia Millia Islamia (Central University), New Delhi 110025, IndiaIn the present paper we study Ricci pseudo-symmetry, Z-Ricci pseudo-symmetry and concircularly pseudo-symmetry conditions on a mixed generalized quasi-Einstein spacetime $ MG(QE)_{4} $. Also, it is proven that if $ d\neq \varLambda $, then $ MG(QE)_{4} $ spacetime does not admit heat flux, where $ d $ and $ \varLambda $ are the function and the cosmological constant, respectively. In the end of this paper we construct a non-trivial example of $ MG(QE)_{4} $ to prove its existence.https://www.aimspress.com/article/doi/10.3934/math.20231260?viewType=HTMLquasi-einstein manifoldsmixed generalized quasi-einstein manifoldseinstein's field equationheat flux |
| spellingShingle | Mohd Bilal Mohd Vasiulla Abdul Haseeb Abdullah Ali H. Ahmadini Mohabbat Ali A study of mixed generalized quasi-Einstein spacetimes with applications in general relativity AIMS Mathematics quasi-einstein manifolds mixed generalized quasi-einstein manifolds einstein's field equation heat flux |
| title | A study of mixed generalized quasi-Einstein spacetimes with applications in general relativity |
| title_full | A study of mixed generalized quasi-Einstein spacetimes with applications in general relativity |
| title_fullStr | A study of mixed generalized quasi-Einstein spacetimes with applications in general relativity |
| title_full_unstemmed | A study of mixed generalized quasi-Einstein spacetimes with applications in general relativity |
| title_short | A study of mixed generalized quasi-Einstein spacetimes with applications in general relativity |
| title_sort | study of mixed generalized quasi einstein spacetimes with applications in general relativity |
| topic | quasi-einstein manifolds mixed generalized quasi-einstein manifolds einstein's field equation heat flux |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231260?viewType=HTML |
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