An Exact Family of Einstein–Maxwell Wyman–Adler Solution in General Relativity

Fatema, Saba; Murad, Mohammad Hassan

doi:10.1007/s10773-013-1538-y

Cited by 29 publications

(12 citation statements)

References 87 publications

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“…8. Many other forms of Z have been selected in the past as indicated in the works of Kiess [40], Fatema and Murad [41] and Murad [42]. Our polynomial forms for Z are new, make exact integration of the field equations possible and yield stars which are physically reasonable.…”

Section: Physical Modelsmentioning

confidence: 99%

Relativistic stars with conformal symmetry

2018

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We study exact models for anisotropic gravitating stars with conformal symmetry. The gravitational potentials are related explicitly by the conformal vector. We use this relationship between the metric potentials to find new classes of exact solutions to the field equations. We identify a particular model to study the physical features and demonstrate that the model is well behaved. In particular the criteria for stability are satisfied. We regain masses, radii and surface redshifts for the compact objects PSR J1614-2230 and SAX J1808.4-3658.

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Section: Physical Modelsmentioning

confidence: 99%

Relativistic stars with conformal symmetry

2018

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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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“…Further, the mass of such modeled super dense object can be maximized by assuming surface density ρ b = 2 × 10 14 g cm −3 , for neutron star [50] and ρ b = 4.688 × 10 14 g cm −3 for SQM star [51,52].…”

Section: Conditions For Well Behaved Solutionmentioning

confidence: 99%

A Class of Super Dense Stars Models Using Charged Analogues of Hajj-Boutros Type Relativistic Fluid Solutions

2014

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We present a spherically symmetric solution of the general relativistic field equations in isotropic coordinates for perfect charged fluid, compatible with a super dense star modeling. The solution is well behaved for all the values of Schwarzschild parameter u lying in the range 0 < u < 0.1727 for the maximum value of charge parameter K = 0.08163. The maximum mass of the fluid distribution is calculated by using stellar surface density as ρ b = 4.6888 × 10 14 g cm −3 . Corresponding to K = 0.08 and u max = 0.1732, the resulting well behaved solution has a maximum mass M = 0.9324M and radius R = 8.00 and by assuming ρ b = 2 × 10 14 g cm −3 the solution results a stellar configuration with maximum mass M = 1.43M and radius R b = 12.25 km. The maximum mass is found increasing with increasing K up to 0.08. The well behaved class of relativistic stellar models obtained in this work might has astrophysical significance in the study of internal structure of compact star such as neutron star or self-bound strange quark star like Her X-1.

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An Exact Family of Einstein–Maxwell Wyman–Adler Solution in General Relativity

Cited by 29 publications

References 87 publications

Relativistic stars with conformal symmetry

Relativistic stars with conformal symmetry

Stellar objects in the quadratic regime

A Class of Super Dense Stars Models Using Charged Analogues of Hajj-Boutros Type Relativistic Fluid Solutions

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