4.3 Article

Well behaved class of charge analogue of Heintzmann's relativistic exact solution

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ASTROPHYSICS AND SPACE SCIENCE
卷 332, 期 2, 页码 473-479

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SPRINGER
DOI: 10.1007/s10509-010-0509-5

关键词

Charge fluid; Reissner-Nordstrom; General relativity; Exact solution

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We present a well behaved class of Charge Analogue of Heintzmann (Z. Phys. 228:489, 1969) solution. This solution describes charge fluid balls with positively finite central pressure and positively finite central density ; their ratio is less than one and causality condition is obeyed at the centre. The outmarch of pressure, density, pressure-density ratio and the adiabatic speed of sound is monotonically decreasing, however, the electric intensity is monotonically increasing in nature. The solution gives us wide range of constant K (1.25a parts per thousand currency signKa parts per thousand currency sign15) for which the solution is well behaved and therefore, suitable for modeling of super dense star. For this solution the mass of a star is maximized with all degrees of suitability and by assuming the surface density rho (b) =2x10(14) g/cm(3). Corresponding to K=1.25 and X=0.42, the maximum mass of the star comes out to be 3.64M (I similar to) with linear dimension 24.31 km and central redshift 1.5316. The charge analogue of Heint-solution has simple algebraic expressions. In order to study the behavior of physical parameters from centre to boundary we use the analytic method with the help of the developed theorem. However, the charge analogue of exact solutions, so far obtained, the numerical methods have been used to study the behavior of physical parameters from centre to boundary.

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