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.

arXiv commentPhysics of Dark Universe accepted version

References in corpus (37)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Sterile Neutrinos as Dark Matter
• A Recipe for Galaxy Formation Shaun Cole
• The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
• The type Ia supernova SNLS-03D3bb from a super-Chandrasekhar-mass white dwarf star
• Observational constraints of $f(Q)$ gravity
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Nearby Supernova Factory Observations of SN 2007if: First Total Mass Measurement of a Super-Chandrasekhar-Mass Progenitor
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Testing $F(Q)$ gravity with redshift space distortions
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• The Luminosity of SN 1999by in NGC 2841 and the Nature of `Peculiar' Type Ia Supernovae
• Wormhole solutions in symmetric teleparallel gravity
• Observational constraints on cosmological solutions of $f(Q)$ theories
• The underluminous Type Ia Supernova 2005bl and the class of objects similar to SN 1991bg
• Physically viable solutions of anisotropic spheres in $f(\mathcal{R},\mathcal{G})$ gravity satisfying the Karmarkar condition
• Anisotropic compact stars in $f(R)$ gravity
• Cosmic acceleration with bulk viscosity in modified $f(Q)$ gravity
• On neutron stars in f(R) theories: small radii, large masses and large energy emitted in a merger
• Evolution of Axially Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• A new deterministic model of strange stars
• Gravastars in $f(\mathcal{G},T)$ Gravity
• Possibility of higher dimensional anisotropic compact star
• Central Density Dependent Anisotropic Compact Stars
• The Subluminous Type Ia Supernova 1998de in NGC 252
• Bardeen Stellar Structures with Karmarkar Condition
• A new faint Type Ia Supernova: SN 1997cn in NGC 5490
• Emerging Anisotropic Compact Stars in $f(\mathcal{G},T)$ Gravity
• Rotating Neutron Stars in F(R) Gravity with Axions
• Anisotropic compact stars in higher-order curvature theory
• Chameleon stars
• Analytical model of strange star in the low-mass X-ray binary 4U 1820-30

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• 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
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