Generating Gowdy cosmological models

Details Generating Gowdy cosmological models Generating Gowdy cosmological models

2003-12-18

arxiv.org/abs/gr-qc/0312083v1

J.Math.Phys. 45 (2004) 1849-1858

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 15 pages, no figures

Scientific paper

10.1063/1.1695448

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.

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