Constructing stellar solutions with spherical symmetry through quadratic anisotropy in f(Q) gravity
Abstract This article examines anisotropic models to characterize compact stars (CSs) in the context of modified f(Q) gravity theory. To achieve this, we employ the linear functional form $$f(Q) = \alpha Q + \beta $$ f ( Q ) = α Q + β . A physically meaningful metric potential $$g_{rr}$$ g rr is con...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13735-0 |
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| author | R. Kumar S. K. Maurya A. Errehymy A. Jaiswal K. Myrzakulov S. Sharma |
| author_facet | R. Kumar S. K. Maurya A. Errehymy A. Jaiswal K. Myrzakulov S. Sharma |
| author_sort | R. Kumar |
| collection | DOAJ |
| description | Abstract This article examines anisotropic models to characterize compact stars (CSs) in the context of modified f(Q) gravity theory. To achieve this, we employ the linear functional form $$f(Q) = \alpha Q + \beta $$ f ( Q ) = α Q + β . A physically meaningful metric potential $$g_{rr}$$ g rr is considered, and a quadratic form of anisotropy is utilized to solve the Einstein field equations in closed form. This class of solutions is then applied to characterize observed pulsars from various perspectives. In the scope of f(Q) gravity, we address the Darmois–Israel junction requirements to guarantee a smooth matching of the inner metric with the external metric (Schwarzschild (Anti-) de Sitter solution) at the boundary hypersurface. By applying these junction conditions, we determine the model parameters involved in the solutions. Additionally, this study evaluates the physical viability and dynamical stability of the solution for different values of the f(Q)-parameter $$\alpha $$ α within the compact star (CS). The mass–radius relationships associated with observational constraints are analyzed for several compact stars, including Vela X-1, PSR J1614-2230, and PSR J0952-0607. The investigation indicates that the estimated radius of the compact object PSR J0952-0607, with mass $$2.35 \pm 0.17~M_\odot $$ 2.35 ± 0.17 M ⊙ , is around $$15.79^{+0.05}_{-0.09}$$ 15 . 79 - 0.09 + 0.05 km for a particular parameter value of $$\alpha = 2.0$$ α = 2.0 , and the moment of inertia for the de Sitter space is determined as $$4.31 \times 10^{45}~\textrm{g}~\textrm{cm}^2$$ 4.31 × 10 45 g cm 2 . The $$I-M$$ I - M curve shows greater sensitivity to the stiffness of the equation of state than the $$M-R$$ M - R curve, reinforcing our conclusion about the $$I-M$$ I - M framework’s responsiveness. Finally, we predicted the corresponding radii and moments of inertia for various values of $$\alpha $$ α based on the $$M-R$$ M - R and $$M-I$$ M - I curves. |
| format | Article |
| id | doaj-art-e4c32153fb0f421bb4c7491449cd7c69 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
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| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-e4c32153fb0f421bb4c7491449cd7c692025-01-26T12:49:29ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111610.1140/epjc/s10052-024-13735-0Constructing stellar solutions with spherical symmetry through quadratic anisotropy in f(Q) gravityR. Kumar0S. K. Maurya1A. Errehymy2A. Jaiswal3K. Myrzakulov4S. Sharma5Department of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur UniversityDepartment of Mathematical and Physical Sciences, College of Arts and Sciences, University of NizwaAstrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-NatalDepartment of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur UniversityDepartment of General and Theoretical Physics, L.N. Gumilyov Eurasian National UniversityDepartment of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur UniversityAbstract This article examines anisotropic models to characterize compact stars (CSs) in the context of modified f(Q) gravity theory. To achieve this, we employ the linear functional form $$f(Q) = \alpha Q + \beta $$ f ( Q ) = α Q + β . A physically meaningful metric potential $$g_{rr}$$ g rr is considered, and a quadratic form of anisotropy is utilized to solve the Einstein field equations in closed form. This class of solutions is then applied to characterize observed pulsars from various perspectives. In the scope of f(Q) gravity, we address the Darmois–Israel junction requirements to guarantee a smooth matching of the inner metric with the external metric (Schwarzschild (Anti-) de Sitter solution) at the boundary hypersurface. By applying these junction conditions, we determine the model parameters involved in the solutions. Additionally, this study evaluates the physical viability and dynamical stability of the solution for different values of the f(Q)-parameter $$\alpha $$ α within the compact star (CS). The mass–radius relationships associated with observational constraints are analyzed for several compact stars, including Vela X-1, PSR J1614-2230, and PSR J0952-0607. The investigation indicates that the estimated radius of the compact object PSR J0952-0607, with mass $$2.35 \pm 0.17~M_\odot $$ 2.35 ± 0.17 M ⊙ , is around $$15.79^{+0.05}_{-0.09}$$ 15 . 79 - 0.09 + 0.05 km for a particular parameter value of $$\alpha = 2.0$$ α = 2.0 , and the moment of inertia for the de Sitter space is determined as $$4.31 \times 10^{45}~\textrm{g}~\textrm{cm}^2$$ 4.31 × 10 45 g cm 2 . The $$I-M$$ I - M curve shows greater sensitivity to the stiffness of the equation of state than the $$M-R$$ M - R curve, reinforcing our conclusion about the $$I-M$$ I - M framework’s responsiveness. Finally, we predicted the corresponding radii and moments of inertia for various values of $$\alpha $$ α based on the $$M-R$$ M - R and $$M-I$$ M - I curves.https://doi.org/10.1140/epjc/s10052-024-13735-0 |
| spellingShingle | R. Kumar S. K. Maurya A. Errehymy A. Jaiswal K. Myrzakulov S. Sharma Constructing stellar solutions with spherical symmetry through quadratic anisotropy in f(Q) gravity European Physical Journal C: Particles and Fields |
| title | Constructing stellar solutions with spherical symmetry through quadratic anisotropy in f(Q) gravity |
| title_full | Constructing stellar solutions with spherical symmetry through quadratic anisotropy in f(Q) gravity |
| title_fullStr | Constructing stellar solutions with spherical symmetry through quadratic anisotropy in f(Q) gravity |
| title_full_unstemmed | Constructing stellar solutions with spherical symmetry through quadratic anisotropy in f(Q) gravity |
| title_short | Constructing stellar solutions with spherical symmetry through quadratic anisotropy in f(Q) gravity |
| title_sort | constructing stellar solutions with spherical symmetry through quadratic anisotropy in f q gravity |
| url | https://doi.org/10.1140/epjc/s10052-024-13735-0 |
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