Static charged perfect fluid spheres in general relativity

Abstract

Interior perfect fluid solutions for the Reissner-Nordstrom metric are studied on the basis of a new classification scheme. General formulas are found in many cases. Explicit new global solutions are given as illustrations. Known solutions are briefly reviewed.Comment: 23 pages, Revtex (galley), journal version, to appear in Phys.Rev.

A family of well behaved charge analogues of a well behaved neutral solution in general relativity

“…This does not include the anisotropic fluid distributions. Then entry of the Nordstrom's metric describing the gravitational field of charged fluid, provided an open way to the flood of charge analogues of the neutral solutions obtained so far (Ivanov 2002;Gupta and Gupta 1986;Gupta andKumar 2005a, 2005b;Bijalwan and Gupta 2008;Gupta and Maurya 2010a;Gupta et al 2010;Pant et al 2010b;Zanchin 2010a, 2010b;Sharif and Abbas 2010;Maharaj and Komathiraj 2007a, 2007bMaharaj and Thirukkanesh 2006a, 2006b, 2009Maharaj and Hansraj 2006). The utility of charge fluids is mainly because of the fact that the presence of charge averts the gravitational collapse of the material ball to a point singularity (Krasinski 1997).…”

A class of regular and well behaved relativistic super-dense star models

“…They are obtained and discussed extensively in Majumdar (1947), Bonner (1960), Cohen and Cohen (1969), De andRaychaudhuri (1968), Efinger (1965), Florides (1977), Gürses (1998aGürses ( , 1998b, Papapetrou (1947), Raychaudhuri (1975), Varela (1999 for other charged fluids lot of work is in progress. Several useful schemes for constructing charged fluid spheres are suggested by Ivanov (2002). The regular fluid spheres satisfying the reality conditions ρ ≥ p ≥ 0, (dp/dr) < 0, (dρ/dr) < 0, (dp/c 2 dρ) < 1 are being used frequently to describe the interior of the Neutron star.…”

Generating potentials via difference equations

“…The linear second order differential equation (6) is difficult to analyse when a = 0. Standard handbooks of differential equations and computer software packages such as Mathematica have not been helpful in generating exact solutions to (6). We attempt to find a series solution to (6) using the method of Frobenius.…”

“…It is important to note that only a few of these solutions correspond to nonsingular metric functions with a physically acceptable energy momentum tensor. Some of the exact solutions to the field equations, which satisfy all the physical requirements for a relativistic star, are contained in the models of the Durgapal and Bannerji [3], Durgapal and Fuloria [4], Finch and Skea [5], Ivanov [6], Maharaj and Leach [7] and Sharma and Mukherjee [8], amongst others.…”