SOME STATIC RELATIVISTIC SOLUTIONS

Abstract

We analyse static spherically symmetric spacetimes in general relativity. For a particular choice of one of the gravitational potentials we show that the solution of the Einstein field equations is reduced to generating a solution of the hypergeometric differential equation. Some exact solutions are presented in terms of special functions and we demonstrate, with the assistance of MATHEMATICA, that these solutions may be reexpressed in terms of elementary functions. We regain a well known static model from our results.