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 $$\alpha $$ α and the charge fraction $$\beta $$ β on the mass–radius ($$M{-}R$$ M - R ) diagram and also the mass–central density $$(M{-}\rho _c)$$ ( M - ρ 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.

Quasinormal modes, shadow and thermodynamics of black holes coupled with nonlinear electrodynamics and cloud of strings

“…Furthermore, other spherically symmetric regular solutions were proposed [3][4][5]. There has been tremendous development in the investigations of regular black hole solutions and their properties [6][7][8][9]. Recently, it is observed that regular black hole solutions with spherical symmetry violet the weak energy condition [10].…”

Thermodynamic properties, thermal image and phase transition of Einstein-Gauss-Bonnet black hole coupled with nonlinear electrodynamics

“…Recently, black hole solution and their thermal properties have been studied for 4D AdS EGB gravity coupled with Yang-Mills field [16]. Moreover, a black hole solution along with its thermodynamics for 4D EGB gravity [17], 4D EGB massive gravity is presented [18], 4D EGB wormhole solutions [19,20], and 4D EGB quark star [21][22][23][24].…”

Quasinormal modes and phase structure of regular AdS Einstein–Gauss–Bonnet black holes

“…The first spherically symmetric regular black hole solution was given by Bardeen [9] that does not hold a strong energy condition. In the recent past, people are paying much attention to the regular black hole solutions [10][11][12][13][14][15][16][17]. An exact regular black hole solution for the EGB coupled with non-Abelian gauge field in 4D AdS spacetime and their thermal properties are explored recently [18].…”