Anisotropic extension of Finch and Skea stellar model

Sharma, Ranjan; Das, Shyam; Thirukkanesh, S.

doi:10.1007/s10509-017-3212-y

Cited by 27 publications

(14 citation statements)

References 35 publications

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“…Figures 13 and 14 illustrate that the energy momentum tensor of all radii obey the condition (ix). Hence for the model parameters chosen the solution comply with requirements (i)-(ix) of a realistic star and in corroboration with reported physical quantities determined by experimental observation on strange star candidates RXJ 1856-37, Her X-1, SAX J1808.4-3658, SMC X-1 and Cen X-3 [52][53][54].…”

Section: Physical Analysissupporting

confidence: 83%

Anisotropic generalization of isotropic models via hypergeometric equation

Nasheeha¹,

Thirukkanesh²,

Ragel

2020

Eur. Phys. J. C

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We study Einstein's field equations to describe static spherically symmetric relativistic compact objects with anisotropic matter distribution, and generate two classes of exact solutions by choosing a generalized form for one of the gravitational potentials and a particular form for the measure of anisotropy. This is achieved by transforming the Einstein's field equation to a hypergeometric equation. The generated models generalize the isotropic models of Durgapal-Bannerji, Tikekar and Vaidya-Tikekar. The physical viability of the model is examined and compared with observational results of strange star candidates.

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Section: Physical Analysissupporting

confidence: 83%

Anisotropic generalization of isotropic models via hypergeometric equation

Nasheeha¹,

Thirukkanesh²,

Ragel

2020

Eur. Phys. J. C

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“…In this section, we provide systematically a rich family of solutions to Einstein-Maxwell system describing an anisotropic charged superdense star in line with some of the previous treatments (Sharma et al 2017;Thirukkanesh and Maharaj 2009;Maharaj and Thirukkanesh 2009;Maharaj and Komathiraj 2007;. We note that that the point x = 0 is a regular singular point of the differential equation 20.…”

Section: New Class Of Charged Anisotropic Stellar Solutionsmentioning

confidence: 82%

Electromagnetic and anisotropic extension of a plethora of well-known solutions describing relativistic compact objects

Komathiraj

Sharma

2020

Astrophys Space Sci

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We demonstrate a technique to generate new class of exact solutions to the Einstein-Maxwell system describing a static spherically symmetric relativistic star with anisotropic matter distribution. An interesting feature of the new class of solutions is that one can easily switch off the electric and/or anisotropic effects in this formulation. Consequently, we show that a plethora of well known stellar solutions can be identified as sub-class of our class of solutions. We demonstrate that it is possible to express our class of solutions in a simple closed form so as to examine its physical viability for the studies of relativistic compact stars.

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“…5.2 we have studied the anisotropic behaviour of compact star with FS geometry in f (T ) gravity. In GR, anisotropic stellar models with a modified FS geometry is studied [33] and an expression for Δ is obtained. In f (T ) gravity model, it is noted that for non-zero value of a parameter α the anisotropy is found as a function of parameter β, a coupling parameter in linear f (T ) gravity.…”

Section: Comparative Study Of Finch-skea Star Under F (T ) and Gr Framentioning

confidence: 99%

“…The metric proposed by Dourah and Ray [30] was modified by Finch and Skea [31] for investigating compact objects under various situations. Recently, FS geometry was modified to accommodate isotropic charged star [32] and it was also modified further incorporating anisotropic stars [33]. A number of research work in relativistic astrophysics using FS metric in 4-dimensions [34][35][36][37][38][39][40] and higher dimensions [41,42] also came up.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic compact objects in f(T) gravity with Finch–Skea geometry

2019

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We study relativistic solutions of anisotropic compact stars with Finch-Skea (FS) metric in f (T) gravity framework. The modified FS geometry is considered to obtain the equation of state (EoS) for different known stellar objects with given mass and radius. The modified Chaplygin gas (MCG) EoS is also considered to obtain stellar objects as the EoS inside the star is not yet known. The results obtained here is important in the two cases to understand properties of known stars, which are however not known observationally. The physical features of known stars are analyzed here and found that compact star formation may be possible with repulsive core. In the case of MCG in f (T) gravity compact stars may be obtained with anisotropic fluid (p t > p r), with maximum anisotropy at the center of the star, which however is not found when MCG is absent.

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Anisotropic extension of Finch and Skea stellar model

Cited by 27 publications

References 35 publications

Anisotropic generalization of isotropic models via hypergeometric equation

Anisotropic generalization of isotropic models via hypergeometric equation

Electromagnetic and anisotropic extension of a plethora of well-known solutions describing relativistic compact objects

Anisotropic compact objects in f(T) gravity with Finch–Skea geometry

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