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New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model
American Journal of Modern Physics
Volume 6, Issue 1, January 2017, Pages: 16-22
Received: Jan. 27, 2017; Accepted: Feb. 13, 2017; Published: Mar. 7, 2017
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A. H. M. Mahbubur Rahman, Department of Mathematics and Natural Sciences, BRAC University, Dhaka, Bangladesh
Md. Rubayet Rahman, Science and Math Program, Asian University for Women, Chittagong, Bangladesh
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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.
Exact Solution, Einstein – Maxwell, Reissner – Nordström, Relativistic Astrophysics, Compact Star, Equation of State
To cite this article
A. H. M. Mahbubur Rahman, Md. Rubayet Rahman, New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model, American Journal of Modern Physics. Vol. 6, No. 1, 2017, pp. 16-22. doi: 10.11648/j.ajmp.20170601.13
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