Constructing stellar solutions with spherical symmetry through quadratic anisotropy in f(Q) gravity
Kumar R. Maurya S.K. Errehymy A. Jaiswal A. Myrzakulov K. Sharma S.
January 2025Springer Nature
European Physical Journal C
2025#85Issue 1
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)=αQ+β. A physically meaningful metric potential grr 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 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±0.17M⊙, is around 15.79-0.09+0.05 km for a particular parameter value of α=2.0, and the moment of inertia for the de Sitter space is determined as 4.31×1045gcm2. The I-M curve shows greater sensitivity to the stiffness of the equation of state than the M-R curve, reinforcing our conclusion about the I-M framework’s responsiveness. Finally, we predicted the corresponding radii and moments of inertia for various values of α based on the M-R and M-I curves.
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Department of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur, India
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, Nizwa, 616, Oman
Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa
Pacif Institute of Cosmology and Selfology (PICS), Sagara, Odisha, Sambalpur, 768224, India
Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Mathematics and Statistics
Department of Mathematical and Physical Sciences
Astrophysics Research Centre
Pacif Institute of Cosmology and Selfology (PICS)
Department of General and Theoretical Physics
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