%0 Journal Article %A Fernández Jambrina, Leonardo %A González Romero, Luis Manuel %T Exterior differential system for cosmological G_2 perfect fluids and geodesic completeness %D 1999 %@ 0264-9381 %U https://hdl.handle.net/20.500.14352/59737 %X In this paper a new formalism based on exterior differential systems is derived for perfect-fluid spacetimes endowed with an abelian orthogonally transitive G_2 group of motions acting on spacelike surfaces. This formulation allows simplifications of Einstein equations and it can be applied for different purposes. As an example a singularity-free metric is rederived in this framework. A sufficient condition for a diagonal metric to be geodesically complete is also provided. %~