Kantowski-Sachs universe cannot be closed

Details Kantowski-Sachs universe cannot be closed Kantowski-Sachs universe cannot be closed

2003-08-18

arxiv.org/abs/astro-ph/0308288v1

Phys.Rev.D68:083512,2003

Astronomy and Astrophysics

Astrophysics

8 pages, to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.68.083512

In this paper, by analyzing the instability against spatially homogeneous and anisotropic perturbations of the Kantowski-Sachs-type during different cosmological epoch, we show that it is a theoretical consequence of the general relativity that the KS universe must be open or flat if it underwent the matter dominated and/or radiation dominated era in its past evolution, which theoretically confirms the flatness of our observable universe.

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