On cracking of charged anisotropic polytropes

Azam, M.; Mardan, S. A.

doi:10.1088/1475-7516/2017/01/040

Cited by 15 publications

(8 citation statements)

References 38 publications

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“…The idea of cracking has been used in [30] with barotropic equations of state i.e., p = p(ρ) and p t = p t (ρ) concluding that both isotropic/anisotropic models could exhibit cracking or overturning. Azam and Mardan [31] analyzed the appearance of cracking using density perturbation in physical parameters. The same authors [32] studied about the existence of cracking in charged anisotropic cylindrical polytropes by considering generalized polytropic equation of state.…”

Section: Introductionmentioning

confidence: 99%

Development of local density perturbation scheme in f(R) gravity to identify cracking points

2022

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In this work, the extension of concept of cracking in modified f(R) theory of gravity is presented for spherically symmetric compact objects. We develop general framework to observe the instabilities in self-gravitating spherical system through cracking with anisotropic inner matter configuration. For this purpose, the local density perturbation is applied on the hydrostatic equilibrium equation to identify cracking points/intervals. The physical viability of developed technique is tested on the data of three different stars namely 4U 1820-30, Her X-1 and SAX J1808.4-3658, presented in f(R) model developed in Zubair and Abbas (Astrophys Space Sci 361:342, 2016). It is concluded that these objects exhibit cracking in different interior regions and identification of cracking points refine the stability analysis of the system by extracting instabilities.

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Section: Introductionmentioning

confidence: 99%

Development of local density perturbation scheme in f(R) gravity to identify cracking points

2022

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“…Based on the literature, the polytropic EoS p r = γρ 1+ 1 n has been widely used to study the properties of the compact objects [43][44][45][46][47][48][49][50][51][52]. However, the generalized polytropic EoS p r = γρ 1+ 1 n + βρ has been used first time to discuss various cosmological aspects of the universe [53].…”

Section: Introductionmentioning

confidence: 99%

Anisotropic solution for polytropic stars in 4D Einstein–Gauss–Bonnet gravity

Singh

Maurya

Bhar³

et al. 2022

Eur. Phys. J. C

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In the present work we have investigated a new anisotropic solution for polytropic stars in the framework of 4D Einstein–Gauss–Bonnet (EGB) gravity. The possibility of determining the masses and radii of compact stars which puts some limitations on equation of state (EoS) above the nuclear saturation density. For this purpose, the 4D EGB field equations are solved by taking a generalized polytropic equation of state (EoS) with Finch–Skea ansatz. The generalized solution for anisotropic model has been tested for different values of Gauss–Bonnet constant $$\alpha $$ α which satisfies all the physical criteria including causality with static stability via mass vs central mass density ($$M-\rho _c$$ M - ρ c ), Bondi and Abreu criterion. The adiabatic index shows a minor influence of the GB coupling constant whereas the central and surface redshifts in the EGB gravity always remain lower than the GR. We present the possibility of fitting the mass and radius for some known compact star via $$M-R$$ M - R curve which satisfies the recent gravitational wave observations from GW 170817 event.

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“…Azam et al [28] used Tolman mass for the stability analysis of relativistic polytropes. Azam and Mardan [29][30][31] used local density perturbation technique for stability analysis, by evaluating the cracking points for different compact objects in spherical and cylindrical symmetry.…”

Section: Introductionmentioning

confidence: 99%

Impact of generalized polytropic equation of state on charged anisotropic polytropes

et al. 2020

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In this paper, generalized polytropic equation of state is used to get new classes of polytropic models from the solution of Einstein-Maxwell field equations for charged anisotropic fluid configuration. The models are developed for different values of polytropic index n = 1, 1 2 , 2. Masses and radii of eight different stars have been regained with the help of developed models. The speed of sound technique and graphical analysis of model parameters is used for the viability of developed models. The analysis of models indicates they are well behaved and physically viable.

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On cracking of charged anisotropic polytropes

Cited by 15 publications

References 38 publications

Development of local density perturbation scheme in f(R) gravity to identify cracking points

Development of local density perturbation scheme in f(R) gravity to identify cracking points

Anisotropic solution for polytropic stars in 4D Einstein–Gauss–Bonnet gravity

Impact of generalized polytropic equation of state on charged anisotropic polytropes

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