A study of anisotropic spheres in $f(Q)$ gravity with quintessence field

Abstract

This manuscript examines the compact stars in gravity $f(Q)$, where non-metricity $Q$ drives gravitational interactions. To achieve this goal, we consider a spherically symmetric spacetime with the anisotropic fluid distribution. In particular, the quintessence field is used in the energy-momentum tensor to explore the solution of compact stars. In addition, we select three specific types of compact stars, namely HerX-1, SAXJ1808.4-3658, and 4U1820-30. We develop the field equations using the quintessence field of a specific form of $f(Q)$ as $f(Q)=Q-\alpha \gamma \left(1-\frac{1}{e^{\frac{Q}{\gamma }}}\right)$ in $f(Q)$ gravity. In addition, we consider the Schwarzschild metric for the matching conditions at the boundary. Then, we calculate the values of all the relevant parameters by imposing matching conditions. We provide detailed graphical analyses to discuss the parameters' physical viability, namely energy density, pressure, gradient and anisotropy. We also examine the stability of compact stars by testing energy conditions, equations of state, conditions of causality, redshift functions, mass functions, and compactness functions. Finally, we find that the solutions we obtained are physically feasible in modified $f(Q)$ gravity, and also it has good properties for the compact star models.

Physics of Dark Universe accepted version

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Cited by in corpus (14)

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• Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Buchdahl quark stars within $f(Q)$ theory
• Geometrically deformed charged anisotropic models in $f(Q,T)$ gravity
• Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity
• Flat FLRW Universe in logarithmic symmetric teleparallel gravity with observational constraints
• Gravastar in the Framework of Symmetric Teleparallel Gravity
• Spatial curvature in coincident gauge $f(Q)$ cosmology
• Dynamical reconstruction of the $\Lambda$CDM model in the scalar-tensor representation of $f\left(Q,T\right)$ gravity
• Bianchi type-I cosmological dynamics in $f(\mathcal{Q})$ gravity: a covariant approach
• $f(Q,T)$ gravity: From early to late-time cosmic acceleration
• Modeling and Analyzing Stability of Hybrid Stars within $f(Q)$ Gravity