Solitonic effect on relativistic string cloud spacetime attached with strange quark matter

Yanlin Li; Mohd Danish Siddiqi; Meraj Ali Khan; Ibrahim Al-Dayel; Maged Zakaria Youssef; Yanlin Li; Mohd Danish Siddiqi; Meraj Ali Khan; Ibrahim Al-Dayel; Maged Zakaria Youssef

doi:10.3934/math.2024704

AIMS Mathematics

2024, Volume 9, Issue 6: 14487-14503. doi: 10.3934/math.2024704

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Research article

Solitonic effect on relativistic string cloud spacetime attached with strange quark matter

1.
School of Mathematics, Hangzhou Normal University, Hangzhou, 311121, China
2.
Department of Mathematics, College of Science, Jazan University, P. O. Box 277, Jazan 45142, Saudi Arabia
3.
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P. O. Box-65892, Riyadh 11566, Saudi Arabia

Received: 28 February 2024 Revised: 29 March 2024 Accepted: 02 April 2024 Published: 22 April 2024
MSC : 53B30, 53C44, 53C50, 53C80

In this research paper, we discussed some geometric axioms of a relativistic string cloud spacetime attached with strange quark matter. We determined the conformal $ \eta $-Ricci soliton on a relativistic string cloud spacetime attached with strange quark matter with a $ \varphi(\mathcal{R}ic) $-vector field. In addition, we illustrated some physical significance of conformal pressure $ P $ in terms of conformal $ \eta $-Ricci soliton with the same vector field. Besides this, we deduced a generalized Liouville equation from the conformal $ \eta $-Ricci soliton. Furthermore, we examine the harmonic relevance of conformal $ \eta $-Ricci soliton on string cloud spacetime attached with strange quark matter with a potential function $ \psi $. Finally, we turned up a necessary and sufficient condition for the 1-form $ \eta $, which is the $ {g} $-dual of the vector field $ \gamma $ on a string cloud spacetime attached with strange quark matter to be a solution for the Schrödinger-Ricci equation.
- conformal $ \eta $-Ricci soliton,
- string cloud spacetime,
- strange quark matter,
- $ \varphi(\mathcal{R}ic $)-vector field,
- Schrödinger-Ricci equation
Citation: Yanlin Li, Mohd Danish Siddiqi, Meraj Ali Khan, Ibrahim Al-Dayel, Maged Zakaria Youssef. Solitonic effect on relativistic string cloud spacetime attached with strange quark matter[J]. AIMS Mathematics, 2024, 9(6): 14487-14503. doi: 10.3934/math.2024704

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Abstract

In this research paper, we discussed some geometric axioms of a relativistic string cloud spacetime attached with strange quark matter. We determined the conformal $ \eta $-Ricci soliton on a relativistic string cloud spacetime attached with strange quark matter with a $ \varphi(\mathcal{R}ic) $-vector field. In addition, we illustrated some physical significance of conformal pressure $ P $ in terms of conformal $ \eta $-Ricci soliton with the same vector field. Besides this, we deduced a generalized Liouville equation from the conformal $ \eta $-Ricci soliton. Furthermore, we examine the harmonic relevance of conformal $ \eta $-Ricci soliton on string cloud spacetime attached with strange quark matter with a potential function $ \psi $. Finally, we turned up a necessary and sufficient condition for the 1-form $ \eta $, which is the $ {g} $-dual of the vector field $ \gamma $ on a string cloud spacetime attached with strange quark matter to be a solution for the Schrödinger-Ricci equation.

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