Ricci collineations in Bianchi II spacetime

In this study we classify the Ricci collineations (RCs) of Bianchi II spacetime according to the degenerate and non-degenerate cases of the Ricci tensor. It is shown that we have thirteen possibilities to be considered for the degenerate case, and found that there are generally infinitely many RCs whereas some cases give finite dimensional Lie algebras of the RCs which have three, four or five RCs. For the non-degenerate Ricci tensor cases, the Lie algebra of the obtained RCs are finite dimensional, in which the number of RCs is also three, four or five. Copyright © 2007 by World Scientific Publishing Co. Pvt. Ltd.