The Exact Solution of Einstein's Gravitational Field Equation for a Space-Time Filled with Gravitating Matter of Density r(r, q, j)

Abstract: In this article an exact solution of Einstein's gravitational field equation is derived in terms of the density of gravitating matter, r(r, q, j), instead of the gravitational mass, M. This solution of the gravitational field equation of general relativity provides analytical expressions, (predictions), describing many astronomical observations in the cosmos, a few of which are discussed in this article. The physical description of the gravitational field itself is extremely counter intuitive to our understanding of the gravitational field based on Newton's theory of gravity; yet the space-time described by this solution adds to our understanding of general relativity, cosmology, and the gravitational field in the four dimensional Riemann space-time. In addition the result contains serious implications for the fields of cosmology and quantum gravity.