A class of polytropic stars in Einstein–Gauss–Bonnet gravity

Kaisavelu, Anand; Govender, M.; Hansraj, Sudan; Krupanandan, Daniel

doi:10.1140/epjp/s13360-021-02043-1

Cited by 9 publications

(3 citation statements)

References 27 publications

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“…where c = 1 + αψ. This equation reduces to equation (41) in [38] when μ = 0. The numerical solution of equations ( 23) and ( 24) is given in figure 3.…”

Section: Case Imentioning

confidence: 99%

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Study of anisotropic polytropes in f (, T) Theory

Sharif¹,

Majid²,

Shafaqat³

2022

Phys. Scr.

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This paper examines the general formalism and applications of isotropic as well as anisotropic polytropic stars in curvature-matter coupled gravity. For this purpose, we consider static spherical and Schwarzschild spacetimes in the interior and exterior regions, respectively. We use two polytropic equations of state to obtain physically viable solutions of the field equations. The hydrostatic equilibrium and Lane-Emden equations are developed for both isotropic as well as anisotropic cases. We study the effects of anisotropic pressure on the stellar structure. Moreover, we graphically inspect the physical behavior of isotropic as well as anisotropic polytropes through energy conditions and stability criterion. Finally, we discuss Tolman mass to explore some characteristics of the models. It is concluded that more viable and stable polytropes are found in this theory as compared to general relativity.

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“…where c = 1 + αψ. This equation reduces to equation (41) in [38] when μ = 0. The numerical solution of equations ( 23) and ( 24) is given in figure 3.…”

Section: Case Imentioning

confidence: 99%

“…Nasim and Azam [40] studied charged anisotropic polytropes with generalized EoS. Polytropic EoS has also been used in Einstein-Gauss-Bonnet gravity to model spherically symmetric stars [41].…”

Section: Introductionmentioning

confidence: 99%

Study of anisotropic polytropes in f (, T) Theory

Sharif¹,

Majid²,

Shafaqat³

2022

Phys. Scr.

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“…The works by [13,[36][37][38][39] generated physically significant stellar models with viable results in astrophysics and astronomy using Chaplygin equation of state. The recent relativistic models by [4,[40][41][42] were generated by imposing polytropic equation of state. On the other hand, [43,44] applied van der Waals equation of state to obtain astrophysically significant stellar models.…”

Section: Introductionmentioning

confidence: 99%

A Well-Behaved Anisotropic Strange Star Model

Mathias

Sunzu

2022

Advances in Mathematical Physics

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We obtain a new nonsingular exact model for compact stellar objects by using the Einstein field equations. The model is consistent with stellar star with anisotropic quark matter in the absence of electric field. Our treatment considers spacetime geometry which is static and spherically symmetric. Ansatz of a rational form of one of the gravitational potentials is made to generate physically admissible results. The balance of gravitational, hydrostatic, and anisotropic forces within the stellar star is tested by analysing the Tolman-Oppenheimer-Volkoff (TOV) equation. Several stellar objects with masses and radii comparable with observations found in the past are generated. Our model obeys different stability tests and energy conditions. The profiles for the potentials, matter variables, stability, and energy conditions are well behaved.

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