Generating Gowdy cosmological models

Abstract

Using the analogy with stationary axisymmetric solutions, we present a method to generate new analytic cosmological solutions of Einstein's equation belonging to the class of $T^3$ Gowdy cosmological models. We show that the solutions can be generated from their data at the initial singularity and present the formal general solution for arbitrary initial data. We exemplify the method by constructing the Kantowski-Sachs cosmological model and a generalization of it that corresponds to an unpolarized $T^3$ Gowdy model.

Latex, 15 pages, no figures

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Cited by in corpus (5)

• Time and "angular" dependent backgrounds from stationary axisymmetric solutions
• Gowdy $T^3$ Cosmological Models in N=1 Supergravity
• Perturbation theory in covariant canonical quantization
• Acausality in Gowdy spacetimes
• Gravitational fields as generalized string models