Anisotropic compact star model satisfying Karmarkar conditions

Pandya, D. M.; Thakore, Bhashin; Goti, Ridhesh; Rank, J. P.; Shah, Syed Munawar

doi:10.1007/s10509-020-3742-6

Cited by 22 publications

(4 citation statements)

References 62 publications

(39 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thirukkanesh and Ragel [32] discussed the charged strange quark stars. Jasim et al [33,34] presented the generalised embedding class one anisotropic solutions.…”

Section: Introductionmentioning

confidence: 99%

Realistic and dark stellar models via embedding approach in the Rastall gravity

Mustafa¹,

Hussain²,

Shamir³

et al. 2021

Phys. Scr.

View full text Add to dashboard Cite

This study explores the Rastall theory of modified gravity for three different compact stars based on observational facts, by assuming the Karmarkar condition with an anisotropic fluid profile. We adopt an explicit g rr metric potential element, which fulfills the important condition (Karmarkar condition). The new model permits to solve the differential equation for another metric component g tt by exploiting the Karmarkar condition. Further, we present the interior solution in the allusion of the Schwarzchild interior comparable solution for Rastall theory, which is physically suitable. Moreover, we explore some physically essential attributes by using the masses and radii from observational data for three different stellar objects. It is perceived that the acquired results are physically considerable to the best degree of accuracy. All the physically essential parameters and properties are presented graphically, and these graphs display the calculated solutions that are feasible for three different stellar objects. It is noticed that the parameter c, appearing in the family of solutions that are satisfying the Karmarkar condition for the anisotropic matter, has some vital role for these solutions. Furthermore, we also explore dark stars by taking positive values of the Rastall parameter. We observe that our results are in agrement with in the framework of the Rastall gravity.

show abstract

“…Thirukkanesh and Ragel [32] discussed the charged strange quark stars. Jasim et al [33,34] presented the generalised embedding class one anisotropic solutions.…”

Section: Introductionmentioning

confidence: 99%

Realistic and dark stellar models via embedding approach in the Rastall gravity

Mustafa¹,

Hussain²,

Shamir³

et al. 2021

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…Maharaja and Marteens [10] modelled anisotropic compact stars by assuming a uniform energy density, described through general relativity. Heintzmann and Hillebrandt [11] showed through a model of relativistic neutron stars at high densities that while the maximum mass for compact stars is limited to 3-4 𝑀 , there is no limited mass for arbitrarily large anisotropy measurements.In recent years, many physicists have studied the effect of anisotropy of matter in compact stars, taking the radial component of pressure is different from tangential component of pressure in compact stars [12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31]. Attempts have also been made to model both charged and uncharged compact star models using the modified theories of gravity [32,33,34,35].…”

Section: Introductionmentioning

confidence: 99%

A New Class of Analytical Solutions Describing Anisotropic Neutron Stars in General Relativity

Solanki,

Thakore

2021

Preprint

View full text Add to dashboard Cite

A new class of solutions describing analytical solutions for compact stellar structures has been developed within the tenets of General Relativity. Considering the inherent anisotropy in compact stars, a stable and causal model for realistic anisotropic neutron stars was obtained using the general theory of relativity. Assuming a physically acceptable non-singular form of one metric potential and radial pressure containing the curvature parameter 𝑅, the constant 𝑘, and the radius 𝑟, analytical solutions to Einstein's field equations for anisotropic matter distribution were obtained. Taking the value of 𝑘 as -0.44, it was found that the proposed model obeys all necessary physical conditions, and it is potentially stable and realistic. The model also exhibits a linear equation of state, which can be applied to describe compact stars.

show abstract

“…13 Pandya et al 14 generated exact solutions of a generalized form of the Finch-Skea ansatz, and later on provided a way to generalize the Finch-Skea metric. 15 While compact star models have been described in substantial detail through the utilization of general relativity, further elaboration to these models and their related parameters can be propounded upon in terms of the inclusivity of dark energy based phenomena.…”

Section: Introductionmentioning

confidence: 99%

Finch-Skea Solutions of Anisotropic Stellar Models in $f(R)$ Gravity

Thakore¹,

Goti²,

Shah³

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

Present paper deals with the composition and modelling of compact dense astrophysical bodies under the framework of f (R) gravity. The model is employed on various observed strange stars viz., SMC X-1, SAX J1808.4-3658, Swift J1818.0-1607, PSR J1614-2230 and PSR J0348+0432. Upon setting the appropriate value of dimensionless coupling parameter λ, the physical parameters such as the density, the radial and tangential pressures were obtained. Mass-Radius relation without presuming any equation of state is capable enough to accommodate all strange stars nearly having solar mass up to 2.5. The physical viability of the model is examined for all the aforementioned stars and it is found that all the regularity and stability conditions are satisfied.

show abstract

Anisotropic compact star model satisfying Karmarkar conditions

Cited by 22 publications

References 62 publications

Realistic and dark stellar models via embedding approach in the Rastall gravity

Realistic and dark stellar models via embedding approach in the Rastall gravity

A New Class of Analytical Solutions Describing Anisotropic Neutron Stars in General Relativity

Finch-Skea Solutions of Anisotropic Stellar Models in $f(R)$ Gravity

Contact Info

Product

Resources

About