Well Behaved Class of Charge Analogue of Adler’s Relativistic Exact Solution
Mamta Joshi Pant, Bipin Chandra Tewari
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DOI: 10.4236/jmp.2011.26058   PDF   HTML     3,784 Downloads   7,329 Views   Citations

Abstract

We present a well behaved class of charge analogue of Alder’s (1974). 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 parameter K (0.96 ≤ K ≤ 5.2) for which the solution is well behaved and appropriate for relativistic theory; 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 ρb = 2 × 1014 g/cm3. Corresponding to K = 0.96 and X = 0.35, the maximum mass of the star comes out to be 3.43 MΘ with linear dimension 32.66 Km and central redshift and surface redshift 1.09374 and 0.5509 respectively.

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M. Pant and B. Tewari, "Well Behaved Class of Charge Analogue of Adler’s Relativistic Exact Solution," Journal of Modern Physics, Vol. 2 No. 6, 2011, pp. 481-487. doi: 10.4236/jmp.2011.26058.

Conflicts of Interest

The authors declare no conflicts of interest.

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