Asymptotic behaviour of the gravitational field and the nature of singularities in Gowdy spacetimes
The authors investigate the behaviour of the gravitational field in the neighbourhood of singularities in so-called polarized Gowdy spacetimes. They show rigorously that, as one approaches the singularity, the metric field of any of these vacuum solutions of Einstein's field equations asymptotically approaches a solution of a truncated system of equations in which spatial curvature terms have been dropped. Consequently the gravitational fields of Gowdy spacetimes spatially decouple near the singularity.
scientific article; zbMATH DE number 4192597