Anisotropic compact star with Tolman IV gravitational potential

Bhar, Piyali; Singh, Ksh. Newton; Manna, Tuhina

doi:10.1007/s10509-016-2876-z

Cited by 42 publications

(24 citation statements)

References 24 publications

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“…The behavior of e n and e l are shown in figure 1. Now using (18) and (17) are also plotted in figure 6 showing that they are 1  . The radial and transverse EoS are following quadratic behavior as shown in figure 7.…”

Section: Conformally Symmetric Charged Anisotropic Solutionmentioning

confidence: 99%

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Effect of electric charge on anisotropic compact stars in conformally symmetric spacetime

et al. 2018

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We obtain a new class of interior solutions for charged anisotropic stars which admits non-static conformal motion. The Einstein-Maxwell field equations are solved by taking a physically reasonable choice for the g rr metric co-efficient and a suitable expression for charge density. From the analysis we have shown that there is a central singularity on space-time by calculating Kretschmann scalar though the central density and central pressure are finite. The emphasis are given on the causality condition and the stability analysis of the model. The masses and radii of the compact stars PSR J16142230, PSR J1903+327 and LMC X-4 obtained from the model are well match with the observed values provided by Gangopadhyay et al (2013 Mon. Not. R. Astron. Soc. 431 3216)

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Section: Conformally Symmetric Charged Anisotropic Solutionmentioning

confidence: 99%

“…Dev and Gleiser [16] proposed several exact solutions for anisotropic stars by taking constant density. We have extensively studied the charged and uncharged model of compact stars in some of our earlier works [17][18][19][20][21][22][23][24][25][26]. To find the exact solution, a more systematic approach is to assume conformal symmetry of the space-time.…”

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confidence: 99%

Effect of electric charge on anisotropic compact stars in conformally symmetric spacetime

et al. 2018

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“…Recently, solutions with prescribed λ and p r have been given full physical analysis [71][72][73][74]. At first sight, these are hybrid solutions, but since λ is closely related to ρ, we mention them here.…”

Section: Introductionmentioning

confidence: 99%

Analytical study of anisotropic compact star models

Иванов

2017

Eur. Phys. J. C

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A simple classification is given of the anisotropic relativistic star models, resembling the one of charged isotropic solutions. On the ground of this database, and taking into account the conditions for physically realistic star models, a method is proposed for generating all such solutions. It is based on the energy density and the radial pressure as seeding functions. Numerous relations between the realistic conditions are found and the need for a graphic proof is reduced just to one pair of inequalities. This general formalism is illustrated with an example of a class of solutions with linear equation of state and simple energy density. It is found that the solutions depend on three free constants and concrete examples are given. Some other popular models are studied with the same method.

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“…In literature several number of papers have done by choosing KB ansatz [53, [61][62][63][64][65][66][67][68]. Some compact star models are developed by choosing metric co-efficients e λ along with a reasonable equation of state (relation between the matter density ρ and radial pressure p r ) [69][70][71][72][73][74], by choosing e λ along with p r [75][76][77].…”

Section: Discussionmentioning

confidence: 99%

Anisotropic compact star model: a brief study via embedding

Bhar¹

2019

Eur. Phys. J. C

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In present article a new model of compact star is obtained in the framework of general relativity which does not suffer from any kinds of singularity. We assume that the underlying fluid distribution is anisotropic in nature along with a new form for the metric potential e λ which is physically reasonable. Though the model parameters depend on four constants a, b, A and B but we have shown that the solutions depend on two free constants since these four constants are correlated to one another. Our proposed model of anisotropic compact star obeys all the necessary physical requirements which have been analyzed with the help of the graphical representation where n lies in the range of − 200 ≤ n ≤ 200. We have shown that the model satisfies all the energy conditions as well as the causality condition. The model is potentially stable and also satisfy Harrison-Zeldovich-Novikov's stability condition.

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Anisotropic compact star with Tolman IV gravitational potential

Cited by 42 publications

References 24 publications

Effect of electric charge on anisotropic compact stars in conformally symmetric spacetime

Effect of electric charge on anisotropic compact stars in conformally symmetric spacetime

Analytical study of anisotropic compact star models

Anisotropic compact star model: a brief study via embedding

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