A Generic Embedding Class-I Model via Karmarkar Condition in fℛ,T Gravity
In the present work, we investigate the existence of compact star model in the background of fℛ,T gravity theory, where ℛ represents the Ricci scalar and T refers to the energy-momentum tensor trace. Here, we use Karmarkar condition for the interior stellar setup so that a complete and precise model...
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| Format: | Article |
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Wiley
2021-01-01
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| Series: | Advances in Astronomy |
| Online Access: | http://dx.doi.org/10.1155/2021/6685578 |
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| author | M. Zubair Saira Waheed Hina Javaid |
| author_facet | M. Zubair Saira Waheed Hina Javaid |
| author_sort | M. Zubair |
| collection | DOAJ |
| description | In the present work, we investigate the existence of compact star model in the background of fℛ,T gravity theory, where ℛ represents the Ricci scalar and T refers to the energy-momentum tensor trace. Here, we use Karmarkar condition for the interior stellar setup so that a complete and precise model following the embedding class-I strategy can be obtained. For this purpose, we assume anisotropic matter contents along with static and spherically symmetric geometry of compact star. As Karmarkar embedding condition yields a relationship of metric potentials, therefore we assume a suitable form for one of the metric components as eϕ=ar2+bn−1rn+1, where a and b represent constants and n is a free parameter, and evaluate the other. We approximate the values of physical parameters like a,A, and B by utilizing the known values of mass and radius for the compact star Vela X-1. The validity of the acquired model is then explored for different values of coupling parameter λ graphically. It is found that the resulting solution is physically interesting and well-behaved. |
| format | Article |
| id | doaj-art-20e07259ca704eeeb84bbd910b9f7185 |
| institution | OA Journals |
| issn | 1687-7969 1687-7977 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Astronomy |
| spelling | doaj-art-20e07259ca704eeeb84bbd910b9f71852025-08-20T02:03:58ZengWileyAdvances in Astronomy1687-79691687-79772021-01-01202110.1155/2021/66855786685578A Generic Embedding Class-I Model via Karmarkar Condition in fℛ,T GravityM. Zubair0Saira Waheed1Hina Javaid2Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, PakistanPrince Mohammad Bin Fahd University, Khobar, Saudi ArabiaDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, PakistanIn the present work, we investigate the existence of compact star model in the background of fℛ,T gravity theory, where ℛ represents the Ricci scalar and T refers to the energy-momentum tensor trace. Here, we use Karmarkar condition for the interior stellar setup so that a complete and precise model following the embedding class-I strategy can be obtained. For this purpose, we assume anisotropic matter contents along with static and spherically symmetric geometry of compact star. As Karmarkar embedding condition yields a relationship of metric potentials, therefore we assume a suitable form for one of the metric components as eϕ=ar2+bn−1rn+1, where a and b represent constants and n is a free parameter, and evaluate the other. We approximate the values of physical parameters like a,A, and B by utilizing the known values of mass and radius for the compact star Vela X-1. The validity of the acquired model is then explored for different values of coupling parameter λ graphically. It is found that the resulting solution is physically interesting and well-behaved.http://dx.doi.org/10.1155/2021/6685578 |
| spellingShingle | M. Zubair Saira Waheed Hina Javaid A Generic Embedding Class-I Model via Karmarkar Condition in fℛ,T Gravity Advances in Astronomy |
| title | A Generic Embedding Class-I Model via Karmarkar Condition in fℛ,T Gravity |
| title_full | A Generic Embedding Class-I Model via Karmarkar Condition in fℛ,T Gravity |
| title_fullStr | A Generic Embedding Class-I Model via Karmarkar Condition in fℛ,T Gravity |
| title_full_unstemmed | A Generic Embedding Class-I Model via Karmarkar Condition in fℛ,T Gravity |
| title_short | A Generic Embedding Class-I Model via Karmarkar Condition in fℛ,T Gravity |
| title_sort | generic embedding class i model via karmarkar condition in fr t gravity |
| url | http://dx.doi.org/10.1155/2021/6685578 |
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