Physically Realistic Solutions to Einstein's Field EquationsAlbert Einstein (1879-1955) needs no introduction. His world famous theory of general relativity was published in 1915 and it has stood the test of time. Central to his theory are the Field Equations. Of particular interest are solutions to these equations which could represent actual physical universes. The following article describes a set of such solutions which were obtained numerically using Maple.
This application requires the combined power of Maple's symbolic and numeric capabilities operating on a system of non-linear partial differential equations in four variables.