Geometrization of string cloud spacetime in general relativity
The purpose of the article is to analyze the behavior of spacetime using a string cloud energy-momentum tensor $ \mathcal{T} $ having string cloud fluid density $ \rho $ and string tension $ \lambda $, named <italic>relativistic string cloud spacetime</italic>. We obtain some results for...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-10-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231487?viewType=HTML |
| _version_ | 1797635381381824512 |
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| author | Mohd Danish Siddiqi Meraj Ali Khan Ibrahim Al-Dayel Khalid Masood |
| author_facet | Mohd Danish Siddiqi Meraj Ali Khan Ibrahim Al-Dayel Khalid Masood |
| author_sort | Mohd Danish Siddiqi |
| collection | DOAJ |
| description | The purpose of the article is to analyze the behavior of spacetime using a string cloud energy-momentum tensor $ \mathcal{T} $ having string cloud fluid density $ \rho $ and string tension $ \lambda $, named <italic>relativistic string cloud spacetime</italic>. We obtain some results for string cloud spacetime with a divergence-free matter tensor and a diminishing space matter tensor. Next, we discuss some curvature characteristics, such as conformally flat, Ricci semi-symmetric and pseudo-Ricci-symmetric, for relativistic string cloud spacetime. In addition, we gain a condition that coincides with the equation of state for the cloud of geometric strings in Ricci semi-symmetric string cloud spacetime. |
| first_indexed | 2024-03-11T12:20:19Z |
| format | Article |
| id | doaj.art-e94a57bf7fad47ea9c37e169790226c1 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T12:20:19Z |
| publishDate | 2023-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-e94a57bf7fad47ea9c37e169790226c12023-11-07T01:47:23ZengAIMS PressAIMS Mathematics2473-69882023-10-01812290422905710.3934/math.20231487Geometrization of string cloud spacetime in general relativityMohd Danish Siddiqi0Meraj Ali Khan1 Ibrahim Al-Dayel2Khalid Masood31. Department of Mathematics College of Science, Jazan University, P. O. Box 277, Jazan 45142, Saudi Arabia2. Department of Mathematics and Statistics College of Science Imam Mohammad Ibn Saud Islamic University, P. O. Box-65892, Riyadh 11566, Saudi Arabia2. Department of Mathematics and Statistics College of Science Imam Mohammad Ibn Saud Islamic University, P. O. Box-65892, Riyadh 11566, Saudi Arabia2. Department of Mathematics and Statistics College of Science Imam Mohammad Ibn Saud Islamic University, P. O. Box-65892, Riyadh 11566, Saudi ArabiaThe purpose of the article is to analyze the behavior of spacetime using a string cloud energy-momentum tensor $ \mathcal{T} $ having string cloud fluid density $ \rho $ and string tension $ \lambda $, named <italic>relativistic string cloud spacetime</italic>. We obtain some results for string cloud spacetime with a divergence-free matter tensor and a diminishing space matter tensor. Next, we discuss some curvature characteristics, such as conformally flat, Ricci semi-symmetric and pseudo-Ricci-symmetric, for relativistic string cloud spacetime. In addition, we gain a condition that coincides with the equation of state for the cloud of geometric strings in Ricci semi-symmetric string cloud spacetime.https://www.aimspress.com/article/doi/10.3934/math.20231487?viewType=HTMLlorentzian spacetime manifoldeinstein's field equationstring cloud energy momentum tensorcurvaturesgeomtric strings |
| spellingShingle | Mohd Danish Siddiqi Meraj Ali Khan Ibrahim Al-Dayel Khalid Masood Geometrization of string cloud spacetime in general relativity AIMS Mathematics lorentzian spacetime manifold einstein's field equation string cloud energy momentum tensor curvatures geomtric strings |
| title | Geometrization of string cloud spacetime in general relativity |
| title_full | Geometrization of string cloud spacetime in general relativity |
| title_fullStr | Geometrization of string cloud spacetime in general relativity |
| title_full_unstemmed | Geometrization of string cloud spacetime in general relativity |
| title_short | Geometrization of string cloud spacetime in general relativity |
| title_sort | geometrization of string cloud spacetime in general relativity |
| topic | lorentzian spacetime manifold einstein's field equation string cloud energy momentum tensor curvatures geomtric strings |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231487?viewType=HTML |
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