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.
Highlights
Dimensions total or if you take an extended version known as M-Theory
Among the higher curvature gravitational theories, the recently formulated 4D EGB gravity has been widely studied because the GB term can yield a non-trivial contribution to the gravitational dynamics even in 4D spacetime
Motivated by the importance of compact stars, here we have investigated the impact of electric charge on quark stars with MIT bag model equation of state (EoS) within the framework of 4D EGB gravity
Summary
dimensions total or if you take an extended version known as M-Theory. the existence of extra spacetime dimensions beyond the four was initiated by Kaluza [3] and Klein [4], and it is known as Kaluza–Klein theory. The EGB gravity has been widely studied because it is realized in the low-energy limit for strings propagating in curved spacetime [9,10] In this theory, the static and spherically symmetric black hole solution was found by Boulware and Deser [11]. The basic idea was to rescale the GB coupling constant α → α/(D − 4) because the presence of an overall factor (D−4) will cancel out, and taking the limit D → 4 [14] This idea is known to be 4D EGB theory and the GB term produces non-trivial contributions to gravitational dynamics. In light of these fantastic results, in this paper, we will study the effect of electric charge on compact stars assuming the MIT bag model EoS. We adopt a geometric unit system, we show our results in physical units for comparison purposes
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