Kantowski-Sachs universe cannot be closed

Xin-zhou Li and Jian-gang Hao
Phys. Rev. D 68, 083512 – Published 30 October 2003
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Abstract

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

  • Received 29 April 2003

DOI:https://doi.org/10.1103/PhysRevD.68.083512

©2003 American Physical Society

Authors & Affiliations

Xin-zhou Li* and Jian-gang Hao

  • Shanghai United Center for Astrophysics, Shanghai Normal University, 100 Guilin Road, Shanghai 200234, China

  • *Electronic address: kychz@shtu.edu.cn

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Vol. 68, Iss. 8 — 15 October 2003

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