Anisotropic charged physical models with generalized polytropic equation of state

Nasim, A.; Azam, Muhammad

doi:10.1140/epjc/s10052-018-5531-8

Cited by 44 publications

(19 citation statements)

References 42 publications

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“…In recent progress, Ivanov [71] assumed a linear EoS to study charged perfect fluid solutions. Motivated by this results, several authors have studied electrically charged fluid spheres for linear and non-linear EoS [72][73][74][75][76]. Motivated by MIT bag models of strange stars, charged solutions were studied by some authors [77,78].…”

Section: Introductionmentioning

confidence: 99%

Electrically charged quark stars in 4D Einstein–Gauss–Bonnet gravity

Pretel

Pradhan²,

Banerjee³

2022

Eur. Phys. J. C

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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.

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Section: Introductionmentioning

confidence: 99%

Electrically charged quark stars in 4D Einstein–Gauss–Bonnet gravity

Pretel

Pradhan²,

Banerjee³

2022

Eur. Phys. J. C

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“…The interior spacetime matches smoothly with the exterior Schwarzschild model [1]. Many exact solutions to the field equations have been generated by different approaches with generalized forms for one of the gravitational potentials that does have an equation of state (EoS) (linear [2][3][4][5][6][7], quadratic [8][9][10], polytropic [11][12][13][14][15][16], Van der Waals [17], etc.) and without [18][19][20][21][22][23][24][25] a particular barotropic EoS relating the pressure to the energy density.…”

Section: Introductionmentioning

confidence: 99%

General relativistic model for mixed fluid sphere with equation of state

Ragel

Thirukkanesh²

2019

Eur. Phys. J. C

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We generate a general frame work to solve the Einstein system with an equation of state that describe static spherically symmetric anisotropic matter distribution in terms of a generating function. It is examined for a Van der Waals type equation of state with a physically reasonable form of generating function. The model satisfies all the required major physical properties of a realistic star. It is shown to be stable in the low-density regime that may represent a liquid-gas mixed fluid sphere.

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“…Another important factor that seems to have a significant role in the stellar modelling is charged anisotropic solutions. For example, see the works of [62][63][64][65][66][67].…”

Section: Introductionmentioning

confidence: 99%

Charged stars in 4D Einstein–Gauss–Bonnet gravity

2021

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An alternative gravity theory that has attracted considerable attention recently is the novel four-dimensional Einstein–Gauss–Bonnet (4EGB) gravity. This idea was proposed to bypass the Lovelock’s theorem and to permit nontrivial higher curvature effects on the four-dimensional local gravity. In this approach, the Gauss–Bonnet (GB) coupling constant $$\alpha $$ α is rescaled by a factor of $$\alpha /(D -4)$$ α / ( D - 4 ) in D dimensions and taking the limit $$D \rightarrow 4$$ D → 4 . In this article, we analyze the effects of charge on static compact stars in the regularized 4D EGB gravity theory. Two classes of new exact solutions are found for a particular choice of the gravitational potential and assuming a relationship between the electric field intensity and the spatial potential. A graphical analysis indicates that the matter and electromagnetic variables are well behaved for specific values of the parameter space. Finally, based on physical grounds appropriate bounds on the model parameters we show that compact objects with the value of adiabatic index $$\gamma $$ γ is consistent with expectations.

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Anisotropic charged physical models with generalized polytropic equation of state

Cited by 44 publications

References 42 publications

Electrically charged quark stars in 4D Einstein–Gauss–Bonnet gravity

Electrically charged quark stars in 4D Einstein–Gauss–Bonnet gravity

General relativistic model for mixed fluid sphere with equation of state

Charged stars in 4D Einstein–Gauss–Bonnet gravity

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