Abstract
A class of well behaved charged analogues of Schwarzchild’s interior solution has been obtained using a particular electric intensity. The solutions of this class are utilized to depict a superdense star model with surface density 2×1014 g cm−3. The solution obtained is new and the pressure (p), density (c 2 ρ), velocity of sound \((\sqrt{( dp / c^{2}d\rho )} )\) and (p/(c 2 ρ)) are monotonically decreasing towards the pressure free interface. Moreover the adiabatic constant is found to be more than (4/3) which is necessary for stability under radial perturbation. Also the electric intensity increases monotonically towards the surface. The well behaved model has the maximum mass M=1.740793M Θ , Radius 12.130308 km. The redshift at the center and on the surface is given by z 0=0.384261 and z a =0.292489. Out of the models of superdense star obtained couple of models represent Vela Pulsar for (i) α 2=1.03, b=0.33, \(\frac{a^{2}}{R^{2}} = 0.15\), Radius=10.8566 km, M=1.18331M Θ , I=0.642601×1045, (ii) α 2=1.1, b=0.3, \(\frac{a^{2}}{R^{2}} = 0.16\), Radius=11.197533 km, M=1.311438M Θ , I=0.774508×1045. All the solutions mentioned above are reducible to Schwarzchild interior solution in the absence of charge.
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Gupta, Y.K., Kumar, J. & Pratibha A Class of Well Behaved Charged Analogues of Schwarzchild’s Interior Solution. Int J Theor Phys 51, 3290–3302 (2012). https://doi.org/10.1007/s10773-012-1209-4
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DOI: https://doi.org/10.1007/s10773-012-1209-4