GENERALIZED FRIEDMANN-ROBERTSON-WALKER METRIC AND REDUNDANCY IN THE GENERALIZED EINSTEIN EQUATIONS

Abstract

A nontrivial redundancy relation, due to the differential structure of the gravitational Bianchi identity as well as the symmetry of the Friedmann-Robertson-Walker metric, in the gravitational field equation is clarified. A generalized Friedmann-Robertson-Walker metric is introduced in order to properly define a one-dimensional reduced problem which offers an alternative approach to obtain the gravitational field equations on Friedmann-Robertson-Walker spaces.