Abstract
A new analytic relativistic model has been obtained for superdense stars by solving the Einstein field equations for the spherically symmetric and static case. The model stands all the tests of physical reality. The density,ρ, remains positive under all conditions and decreases smoothly from the center to the surface of the structure. The pressure,P, the ratioP/ρ anddP/dρ decrease with decreasing density. For all the finite values of pressure, the configurations are stable under radial perturbation. FordP/dρ⩽ 1, the maximum mass of neutron star model is 4.17⊙, and the surface and central red shifts are 0.63 and 1.60, respectively. For an infinite central pressure, the surface red shift is 1.61. The structures are bound and the binding coefficients increase with the increasing mass.
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Durgapal, M.C., Fuloria, R.S. Analytic relativistic model for a superdense star. Gen Relat Gravit 17, 671–681 (1985). https://doi.org/10.1007/BF00763028
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DOI: https://doi.org/10.1007/BF00763028