1998/10/21 by Octavio Obregón, Octavio Obregon, Obregon, Octavio +3
Computer Science · Physics and Astronomy · #Matrix Theory and Algorithms #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9810068
13 pages, 11 figures, Plain TeX
arxiv created 1998/10/21 · arxiv updated 2012/08/27
Unpolarized Gowdy models are inhomogeneous cosmological models that depend on time and one spatial variable and have complicated nonlinear equations of motion. There are two topologies associated with these models, a three-torus and a one-sphere cross a two-sphere. The three-torus models have been used for numerical studies because it seems difficult to find analytic solutions to their nonlinear Einstein equations. The one-sphere cross tow-sphere models have even more complicated equations, but at least one family of analytic solutions can be given as a reinterpretation of known solutions. Various properties of this family of solutions are studied.