Abstract
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.
Highlights
It is well known that, at the pressure free interface, the Reissner-Nordstrӧm solution is interesting to observe the gravitational collapse of a spherical symmetric distribution of the matter to a point singularity may be avoided [1] if the matter distribution acquires large amount of electric charge
Metha and Tewari showed that radiative gravitational radiation (GR) collapse may be contributed to formation of the compact non-singular massive hot object [5,6,7]
In this work we have studied particular simple families of relativistic charged stellar models obtained by solving Einstein–Maxwell field equations for a static spherically symmetric distribution of perfect fluid distribution based on two ad hoc assumptions, one for metric potential and other for the form of electric charge distribution
Summary
It is well known that, at the pressure free interface, the Reissner-Nordstrӧm solution is interesting to observe (present charge) the gravitational collapse of a spherical symmetric distribution of the matter to a point singularity may be avoided [1] if the matter distribution acquires large amount of electric charge. Any compact star is not composed of charged perfect fluid and may be used to make a suitable model of compact object with charge matter for the numerical study of the stellar structure [2, 3, 4]. The analytic solutions, behavior of matter, to the equation of relativistic stellar structure of gravitational field equations are two types, one is “normal” matter for neutron stars and another is “self-bound” strange quark star.
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