Relativistic Stellar Model Admitting a Quadratic Equation of State

Sharma, Ranjan; Ratanpal, B. S.

doi:10.1142/s0218271813500740

Cited by 135 publications

(94 citation statements)

References 44 publications

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“…The FinchSkea ansatz has been used by Sharma and Ratanpal (2013) to develop an anisotropic stellar model which has been shown to admit a quadratic EOS. The solution is, in fact, a sub-class of the model developed by Pandya et al (2015).…”

Section: Introductionmentioning

confidence: 99%

Anisotropic extension of Finch and Skea stellar model

Sharma¹,

Das²,

Thirukkanesh³

2017

Astrophys Space Sci

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In this paper, the spacetime geometry of Finch and Skea [Class. Quantum Grav. 6 (1989) 467] has been utilized to obtain closed-form solutions for a spherically symmetric anisotropic matter distribution. By examining its physical admissibility, we have shown that the class of solutions can be used as viable models for observed pulsars. In particular, a specific class of solutions can be used as an 'anisotropic switch' to examine the impact of anisotropy on the gross physical properties of a stellar configuration. Accordingly, the mass-radius relationship has been analyzed.

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Section: Introductionmentioning

confidence: 99%

Anisotropic extension of Finch and Skea stellar model

Sharma¹,

Das²,

Thirukkanesh³

2017

Astrophys Space Sci

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“…[22][23][24][25][26][27][28][29][30][31][32], and references therein for an extensive discussion on this point).…”

Section: Introductionmentioning

confidence: 99%

Cracking of general relativistic anisotropic polytropes

2016

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We discuss the effect that small fluctuations of local anisotropy of pressure, and of energy density, may have on the occurrence of cracking in spherical compact objects, satisfying a polytropic equation of state. Two different kinds of polytropes are considered. For both, it is shown that departures from equilibrium may lead to the appearance of cracking, for a wide range of values of the parameters defining the polytrope. Prospective applications of the obtained results, to some astrophysical scenarios, are pointed out.

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“…Tikekar and Jotania [87,88], Jotania and Tikekar [89] showed that the ansatz suggested by Tikekar and Thomas [90] has these features and the general three-parameter solution based on it also leads to physically plausible relativistic models of strange stars. Several aspects of physical relevance and the maximum mass of class of compact star models, based on Vaidya-Tikekar ansatz, for the both isotropic and anisotropic pressures have been investigated in [53,[91][92][93].…”

Section: Introductionmentioning

confidence: 99%

Some new Wyman–Leibovitz–Adler type static relativistic charged anisotropic fluid spheres compatible to self-bound stellar modeling

Murad

Fatema

2015

Eur. Phys. J. C

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In this work some families of relativistic anisotropic charged fluid spheres have been obtained by solving the Einstein-Maxwell field equations with a preferred form of one of the metric potentials, and suitable forms of electric charge distribution and pressure anisotropy functions. The resulting equation of state (EOS) of the matter distribution has been obtained. Physical analysis shows that the relativistic stellar structure for the matter distribution considered in this work may reasonably model an electrically charged compact star whose energy density associated with the electric fields is on the same order of magnitude as the energy density of fluid matter itself (e.g., electrically charged bare strange stars). Furthermore these models permit a simple method of systematically fixing bounds on the maximum possible mass of cold compact electrically charged self-bound stars. It has been demonstrated, numerically, that the maximum compactness and mass increase in the presence of an electric field and anisotropic pressures. Based on the analytic models developed in this present work, the values of some relevant physical quantities have been calculated by assuming the estimated masses and radii of some well-known potential strange star candidates like PSR J1614-2230, PSR J1903+327, Vela X-1, and 4U 1820-30.

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Relativistic Stellar Model Admitting a Quadratic Equation of State

Cited by 135 publications

References 44 publications

Anisotropic extension of Finch and Skea stellar model

Anisotropic extension of Finch and Skea stellar model

Cracking of general relativistic anisotropic polytropes

Some new Wyman–Leibovitz–Adler type static relativistic charged anisotropic fluid spheres compatible to self-bound stellar modeling

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