Algorithmic simplification of sulution generating theorems of perfect fluid spheres in general relativity

Abstract

Transformation theorems are the maps that construct the original perfect fluid spheres into new ones. There are many ways or algorithms that are transformation theorems to derive the exact solutions by solving specific differential equations from Einstein’s equations. The object of this research is about how to find the best way to derive the new exact solution in the simplified forms such as not many terms in calculation, easy for construct and less complex than the original transformation theorem. Furthermore, we construct the subprogram of mathematical program called maplet in Maple. This subprogram will help us to reduce methods in algorithm, raise our accuracy and make easier to derive new exact solutions from the original transformation theorems instead of calculating by hand.