Kantowski-Sachs universe cannot be closed
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.
- Publication:
-
Physical Review D
- Pub Date:
- October 2003
- DOI:
- 10.1103/PhysRevD.68.083512
- arXiv:
- arXiv:astro-ph/0308288
- Bibcode:
- 2003PhRvD..68h3512L
- Keywords:
-
- 98.80.-k;
- 95.30.Sf;
- Cosmology;
- Relativity and gravitation;
- Astrophysics;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 8 pages, to be published in Phys. Rev. D