Electrically Charged Quark Stars in $4D$ Einstein-Gauss-Bonnet Gravity

Abstract

In this work we study the properties of compact spheres made of a charged perfect fluid with a MIT bag model EoS for quark matter. Considering static spherically symmetric spacetime we derive the hydrostatic equilibrium equations in the recently formulated four dimensional Einstein-Gauss-Bonnet ($4D$ EGB) gravity theory. In this setting, the modified TOV equations are solved numerically with the aim to investigate the impact of electric charge on the stellar structure. A nice feature of $4D$ EGB theory is that the Gauss-Bonnet term has a non-vanishing contribution to the gravitational dynamics in $4D$ spacetime. We therefore analyse the effects of Gauss-Bonnet coupling constant $\alpha$ and the charge fraction $\beta$ on the mass-radius ($M-R$) diagram and also the mass-central density $(M-{\rho }_c)$ relation of quark stars. Finally, we conclude that depending on the choice of coupling constant one could have larger mass and radius compared with GR and can also be relevant for more massive compact objects due to the effect of the repulsive Coulomb force.

10 pages, 5 figures, 2 tables, accepted for publication in European Physical Journal C

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• Cosmological Constraints on 4-Dimensional Einstein-Gauss-Bonnet Gravity
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• Corrected thermodynamics of $(2+1)D$ black hole conformally coupled to a massless scalar
• Celestial attributes of Hybrid star in $5\mathcal{D}$ Einstein-Gauss-Bonnet gravity
• Properties of relativistic star in 5-D Einstein-Gauss-Bonnet gravity
• Constraint on the equation of state of strange quark star: Perturbative QCD along with a density-dependent bag constant
• Probing Dark Energy Properties in $fQ,C)$ Gravity with FLRW Cosmological Models
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