Study of Anisotropic Compact Star Model in Modified Gravity Using Finch–Skea Geometry
In this work, we construct a new model of compact stars in the presence of anisotropic matter in the Rastall theory of gravity. For this, we considered the anisotropic matter content when formulating the Rastall field equations. Secondly, the Tolman–Oppenheimer–Volkoff (TOV) equation in the context...
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2024-01-01
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| Series: | Advances in Astronomy |
| Online Access: | http://dx.doi.org/10.1155/2024/6749260 |
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| author | M. R. Shahzad M. Amjad Y. M. Abo Essa K. El-Rashidy Faisal Rasheed Khalil Hadi Hakami Homan Emadifar |
| author_facet | M. R. Shahzad M. Amjad Y. M. Abo Essa K. El-Rashidy Faisal Rasheed Khalil Hadi Hakami Homan Emadifar |
| author_sort | M. R. Shahzad |
| collection | DOAJ |
| description | In this work, we construct a new model of compact stars in the presence of anisotropic matter in the Rastall theory of gravity. For this, we considered the anisotropic matter content when formulating the Rastall field equations. Secondly, the Tolman–Oppenheimer–Volkoff (TOV) equation in the context of Rastall theory is formulated. We apply the Finch–Skea ansatz in the static and spherically symmetric geometry to obtain the analytic solution of the derived field equations in the Rastall theory of gravity. We match the internal solution to the corresponding external Schwarzschild space-time in order to determine the values of the unknown constants involved in the Rastall field equations due to the Finch–Skea ansatz. The resulting model is applied to a few prominent compact stars in order to verify its physical viability. Energy conditions, the TOV equation, stability analysis via sound speeds (radial and transverse in this case), equation of state parameters, mass function, compactness, and surface redshift are some of the analytical expressions that are examined in this inquiry. In order to verify the physical acceptance of the obtained results, we provided a graphical analysis of some necessary analytical expressions. Also, the numerical values of some physical parameters are calculated and are presented in the tabular form to observe the Buchdahl limit and some other important criterion. We note that our model is well consistent with the physical requirements. |
| format | Article |
| id | doaj-art-7bcdea7dc2fc495ab2a5441a68a236b8 |
| institution | OA Journals |
| issn | 1687-7977 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Astronomy |
| spelling | doaj-art-7bcdea7dc2fc495ab2a5441a68a236b82025-08-20T02:37:28ZengWileyAdvances in Astronomy1687-79772024-01-01202410.1155/2024/6749260Study of Anisotropic Compact Star Model in Modified Gravity Using Finch–Skea GeometryM. R. Shahzad0M. Amjad1Y. M. Abo Essa2K. El-Rashidy3Faisal Rasheed4Khalil Hadi Hakami5Homan Emadifar6Department of MathematicsDepartment of MathematicsDepartment of MathematicsTechnology and Science DepartmentDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this work, we construct a new model of compact stars in the presence of anisotropic matter in the Rastall theory of gravity. For this, we considered the anisotropic matter content when formulating the Rastall field equations. Secondly, the Tolman–Oppenheimer–Volkoff (TOV) equation in the context of Rastall theory is formulated. We apply the Finch–Skea ansatz in the static and spherically symmetric geometry to obtain the analytic solution of the derived field equations in the Rastall theory of gravity. We match the internal solution to the corresponding external Schwarzschild space-time in order to determine the values of the unknown constants involved in the Rastall field equations due to the Finch–Skea ansatz. The resulting model is applied to a few prominent compact stars in order to verify its physical viability. Energy conditions, the TOV equation, stability analysis via sound speeds (radial and transverse in this case), equation of state parameters, mass function, compactness, and surface redshift are some of the analytical expressions that are examined in this inquiry. In order to verify the physical acceptance of the obtained results, we provided a graphical analysis of some necessary analytical expressions. Also, the numerical values of some physical parameters are calculated and are presented in the tabular form to observe the Buchdahl limit and some other important criterion. We note that our model is well consistent with the physical requirements.http://dx.doi.org/10.1155/2024/6749260 |
| spellingShingle | M. R. Shahzad M. Amjad Y. M. Abo Essa K. El-Rashidy Faisal Rasheed Khalil Hadi Hakami Homan Emadifar Study of Anisotropic Compact Star Model in Modified Gravity Using Finch–Skea Geometry Advances in Astronomy |
| title | Study of Anisotropic Compact Star Model in Modified Gravity Using Finch–Skea Geometry |
| title_full | Study of Anisotropic Compact Star Model in Modified Gravity Using Finch–Skea Geometry |
| title_fullStr | Study of Anisotropic Compact Star Model in Modified Gravity Using Finch–Skea Geometry |
| title_full_unstemmed | Study of Anisotropic Compact Star Model in Modified Gravity Using Finch–Skea Geometry |
| title_short | Study of Anisotropic Compact Star Model in Modified Gravity Using Finch–Skea Geometry |
| title_sort | study of anisotropic compact star model in modified gravity using finch skea geometry |
| url | http://dx.doi.org/10.1155/2024/6749260 |
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