corner
corner

Phys. Rev. D 68, 083512 (2003) [4 pages]

Kantowski-Sachs universe cannot be closed

Download: PDF (39 kB) Buy this article Export: BibTeX or EndNote (RIS)

Xin-zhou Li* and Jian-gang Hao
Shanghai United Center for Astrophysics, Shanghai Normal University, 100 Guilin Road, Shanghai 200234, China

Received 29 April 2003; published 30 October 2003

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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.083512
DOI:
10.1103/PhysRevD.68.083512
PACS:
98.80.-k, 95.30.Sf

*Electronic address: kychz@shtu.edu.cn