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Vol.3 , No. 1, Publication Date: Jan. 7, 2016, Page: 6-13
| [1] | Manuel Malaver, Maritime University of the Caribbean, Department of Basic Sciences, Catia la Mar, Venezuela. |
In this paper, we found new exact solutions to the Einstein-Maxwell system of equations for quark stars within the framework of MIT-Bag Model considering modified Tolman IV type potential for the gravitational potential Z which depends on an adjustable parameter n and a particular form for the electric field intensity. The anisotropic matter distribution satisfies a linear equation of state consistent with quark matter. The exact solutions can be written in terms of elementary and polynomial functions in presence of an electromagnetic field. All the obtained solutions have a singularity in the charge density but do not admit singularities in the matter and metric functions. We show as a variation of the adjustable parameter causes a modification in the charge density, the electric field intensity, the radial pressure, the tangential pressure, the metric functions and the mass of the stellar object. A graphical analysis indicates that the obtained models satisfy all physical features expected in a realistic star.
Keywords
Exact Solutions, Quark Stars: Anisotropic Matter Distribution, MIT–Bag Model, Tolman IV Potential, Einstein-Maxwell System
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