Classification of Isometry Algebras of Exact Solutions of Einstein's Field Equations

Exact solutions of Einstein's equations have been classified according to their Lie algebras of isometries and their isotropy subalgebras. Solutions were taken from the Utah State University (USU) electronic library of solutions of Einstein's field equations and the classification used Maple code developed at USU. This classification adds to the data contained in the library of solutions and provides additional tools for addressing the equivalence problem for solutions to the Einstein field equations.