Abstract
In this paper, we found the exact solutions of Einstein–Maxwell equations with generalized polytropic equation of state (GPEoS). For this, we consider spherically symmetric object with charged anisotropic matter distribution. We rewrite the field equations into simple form through transformation introduced by Durgapal (Phys Rev D 27:328, 1983) and solve these equations analytically. For the physically acceptability of these solutions, we plot physical quantities like energy density, anisotropy, speed of sound, tangential and radial pressure. We found that all solutions fulfill the required physical conditions. It is concluded that all our results are reduced to the case of anisotropic charged matter distribution with linear, quadratic as well as polytropic equation of state.
Highlights
The exact solution of the Einstein–Maxwell field equations has a great importance in the modeling of viable relativistic compact object (CO)
We show that the exact solutions with generalized polytropic equation of state found in Sect. 4 are physically acceptable
We have written the solutions in terms of elementary functions which fulfill the physical acceptability criteria
Summary
The exact solution of the Einstein–Maxwell field equations has a great importance in the modeling of viable relativistic compact object (CO). With the assumption that the hypersurface are spheroidal (t = constant), Komathiraj and Maharaj [9] found new class of exact solution for particular values of electromagnetic field and spheroidal parameter. The new exact solutions of Einstein–Maxwell field equations have been derived by Thirukkanesh and Maharaj [10] and Komathiraj and Maharaj [11], for a particular form of electric field intensity. Sharma and Maharaj [13] found the solution to field equations with an anisotropic inner fluid distribution and discussed the discriminating attributes of solution with linear EoS. The charged anisotropic sphere with linear EoS was modeled by Thirukkanesh and Maharaj [14] and Takisa and Maharaj [15].
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