To analysis of general theory of relativity in references of static conformally flat charged fluid spheres and spherically symmetric charged fluids in einstein – maxwell theory

Static conformally flat charged fluid spheres have much attracted the relatives in recent years. In 1968, De and Raychaudhuri (9) have shown that in relativistic unit a pressure-less charged dust distribution in equilibrium will have the absolute value of the charge to mass ratio as unity. Many workers have already studied the charged fluid distribution in equilibrium. The Einstein-Maxwell field equations in the presence of matter and charge from a highly non-liner system of equations and so a small number of exact solution have been obtained. It is believed that exact solutions of the field equations in general relativity for extended charged distribution will prove useful in the study of quantum field theory in a Reimannin manifold as question of self-energy becomes answerable. Sphere of charged dust have been investigated by Papapetrou (23). Bonner and Wickramasuriya (5) and Raychaudhuri (24). It is believed that exact solutions of the field equations in general relativity for extended charged distribution will prove useful in the study of quantum field theory in a Reimannin manifold as question of self-energy becomes answerable. Sphere of charged dust have been investigated by Papapetrou (23). Bonner and Wickramasuriya (5) and Raychaudhuri (24). It is known that the pressure less charged distribution in equilibrium will have the absolute value of the charge to mass ratio as unity in relativistic units (De and Raychaudhuri (9)). Firstly, the solution does not reduce to the interior Schwarzschild solutions when tensor charge density equals zero. This is not surprising as the vanishing of σ_0 does not mean the absence of charge but only implies that the total charge in the sphere is zero. Secondly the gravitational self-energy contribution to the total gravitational mass inversely as the radius of the sphere and not inversely as the square of radius. It can be Mentioned that if one attempts to generalize Kyle and Martin assumption of taking 〖 e〗^λ2 σ(r)∝r^m,m≥0. Q(r)∝r^(m+3), The solution of Wilson can always be overlooked. Hereσ(r) is the proper charge density within the sphere λ is metric potential and Q(r) represent the total charge contained within the sphere of radius r. Q(r) = 4 π∫_0^r▒x^2 e^λ2 σ(x)dx For a spherically symmetric charge distribution the unique exterior metric was obtained by Reissner (25) and Nordstorm (21).