Some charged polytropic models

Takisa, P. Mafa; Maharaj, S. D.

doi:10.1007/s10714-013-1570-5

Cited by 162 publications

(94 citation statements)

References 50 publications

(74 reference statements)

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“…According to these views, in such massive stellar objects the radial pressure may not be equal to the tangential pressure. Since the pioneering work of Bowers and Liang [127], there has been an extensive literature devoted to the study of anisotropic spherically symmetric static general relativistic configurations (see [75,76,79,82,97, and the references therein).…”

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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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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“…The EoS obtained here satisfies a non linear equation. It may be mentioned here that similar nonlinear EoS have been employed by Mafa Takisa and Maharaj (Mafa Takisa & Maharaj 2013) to obtain stellar models for compact objects.…”

Section: Introductionmentioning

confidence: 95%

Relativistic anisotropic star and its maximum mass in higher dimensions

Paul

Chattopadhyay²,

Karmakar

2015

Astrophys Space Sci

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We present a class of relativistic solutions of cold compact anisotropic stars in hydrostatic equilibrium in the framework of higher dimensions using spheroidal geometry. The solutions obtained with Vaidya-Tikekar metric are used to construct stellar models of compact objects and studied their physical features. The effects of anisotropy and extra dimensions on the global properties namely, compactness, mass, radius, equation of state are determined in higher dimensions in terms of the spheroidicity parameter (λ). It is noted that for a given configuration, compactness of a star is found smaller in higher dimensions compared to that in four space-time dimensions. It is also noted that the maximum mass of compact objects increase with the increase of space-time dimensions which however attains a maximum when D = 5 for a large (λ = 100), thereafter it decreases as one increases number of extra dimensions. The effect of extra dimensions on anisotropy is also studied.

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“…An uncharged exact solutions with a polytropic EoS for η = 1 and η = 2 was provided by Thirukkanesh and Ragel [24,25]. Takisa and Maharaj [26] found exact solutions with anisotropic pressure and electromagnetic field with polytropic EoS for η = 1/2, 2/3, 1, 2.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic charged physical models with generalized polytropic equation of state

Nasim

Azam

2018

Eur. Phys. J. C

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In this paper, we found the exact solutions of Einstein-Maxwell equations with generalized polytropic equation of state (GPEoS). For this, we consider spherically symmetric object with charged anisotropic matter distribution. We rewrite the field equations into simple form through transformation introduced by Durgapal (Phys Rev D 27:328, 1983) and solve these equations analytically. For the physically acceptability of these solutions, we plot physical quantities like energy density, anisotropy, speed of sound, tangential and radial pressure. We found that all solutions fulfill the required physical conditions. It is concluded that all our results are reduced to the case of anisotropic charged matter distribution with linear, quadratic as well as polytropic equation of state.

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Some charged polytropic models

Cited by 162 publications

References 50 publications

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

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

Relativistic anisotropic star and its maximum mass in higher dimensions

Anisotropic charged physical models with generalized polytropic equation of state

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