General Solution of Static Sphere of Perfect Fluid and Dust of Uniform Density Using Isotropic Line Element

Abstract

The general solution of a static sphere of perfect fluid of uniform density using isotropic line element has been obtained by using the additional condition of continuity at the boundary í µí±Ÿ = í µí±Ž. Here it is shown that, this solution is a solution of equation of Wyman with an additional integrating constant. If we do not put the condition of continuity at the boundary í µí±Ÿ = í µí±Ž, then it can be shown that í µí± → 0 as í µí±˜ 2 → ∞ using equation of Wyman so the solution of static sphere of dust can be obtained using Wyman's solution by putting í µí± = 0 in the solution, so that í µí±… 2 in terms í µí¼Œ 0 is for dust instead of í µí±… 2 in terms of í µí¼Œ, of fluid obtained by Wyman. The anomalies discussed in the present paper can be removed by new field equation. The new proposed field equation is given and it is shown that the new proposed equation can bring Newtonian approximation.