Some Exact Relativistic Models of Electrically Charged Self-bound Stars

Murad, Mohammad Hassan; Fatema, Saba

doi:10.1007/s10773-013-1752-7

Cited by 36 publications

(18 citation statements)

References 58 publications

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“…Various authors presented a variety of solutions previously for different suitable choices of the charge distributions with isotropic pressure. Some of the solutions are compiled in Table 1 (also see [162]). In this work we consider the following forms of the electric charge distribution and the pressure anisotropy:…”

Section: Field Equationsmentioning

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: Field Equationsmentioning

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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“…where L is a parameter with dimension of length. The requirements for a physically relevant star, in the absence of charge, are given by Delgaty and Lake (1998); the conditions for a charged star were considered by Fatema and Murad (2013) and Murad and Fatema (2013).…”

Section: The Modelmentioning

confidence: 99%

Stellar objects in the quadratic regime

Takisa

Maharaj

Ray

2014

Astrophys Space Sci

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We model a charged anisotropic relativistic star with a quadratic equation of state. Physical features of an exact solution of the Einstein-Maxwell system are studied by incorporating the effect of the nonlinear term from the equation of state. It is possible to regain the masses, radii and central densities for a linear equation of state in our analysis. We generate masses for stellar compact objects and perform a detailed study of PSR J1614-2230 in particular. We also show the influence of the nonlinear equation of state on physical features of the matter distribution. We demonstrate that it is possible to incorporate the effects of charge, anisotropy and a quadratic term in the equation of state in modelling a compact relativistic body.Comment: 8 pages, Submitted for publicatio

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“…Some of the solutions will be found in [23]. In this work we consider the following model distributions:…”

Section: Electric Charge Distribution and Pressure Anisotropmentioning

confidence: 99%

New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model

Rahman¹,

Rahman²

2017

AJMP

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Exact solution for spherically symmetric isotropic charged fluid sphere are investigated relativistic model of an electrically charged compact star, and energy density associated with the electric fluids is on the same order of magnitude as the energy density of fluid matter itself. The analytic solution depicts a unique static charged configuration of quark matter with radius R~9 km and total mass M~2.5M ⊙ . And try to inspect the velocity of sound approximately 1/√3 which is similar to the attitude of SQM (Strange Quark matter). Adiabatic index conform the stability of star if the adiabatic index is less than 4/3. Based on an analytic model in the recent work, the applicable values of physical quantities have been calculated by accepting the estimated masses and radii of some well-known strange star candidates like PSR J1903+327, Her X-1, Cen X-3, EXO 1785-248.

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Some Exact Relativistic Models of Electrically Charged Self-bound Stars

Cited by 36 publications

References 58 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

Stellar objects in the quadratic regime

New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model

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