RT Journal Article T1 Exterior differential system for cosmological G_2 perfect fluids and geodesic completeness A1 Fernández Jambrina, Leonardo A1 González Romero, Luis Manuel AB 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. PB IOP Publishing Ltd SN 0264-9381 YR 1999 FD 1999-03 LK https://hdl.handle.net/20.500.14352/59737 UL https://hdl.handle.net/20.500.14352/59737 LA eng NO © Amer Physical Soc.The present work has been supported by Dirección General de Enseñanza Superior Project PB95-0371. The authors wish to thank F. J. Chinea and M. J. Pareja for valuable discussions. NO Dirección General de Enseñanza Superior DS Docta Complutense RD 6 abr 2025