Abstract
Using the technique of Padé (2, 2) approximant we present, in this paper, an approximate analytical solution to the field equations of general relativity for time-independent, spherically symmetric systems in which the pressureP and densityρ are related by a polytropic equation of state:P = Kρ 1+1/n. The boundary values of coordinate radius ξ1, for polytropic indicesn = 0, 1.0 (0.5) 3.0, are given in Table I. Table II contains the values of other physical parameters, ν(ξ1) (mass),\(\rho _c /\bar \rho \) (the density concentration), and 2GM/c2R (the ratio of gravitational radius to the coordinate radius) forn = 0 and 1.
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Work done at Azerbaijan State University, Baku, USSR (1977–79).
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Sharma, J.P. Relativistic spherical polytropes: An analytical approach. Gen Relat Gravit 13, 663–667 (1981). https://doi.org/10.1007/BF00759409
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DOI: https://doi.org/10.1007/BF00759409