Mathematics – Logic
Scientific paper
May 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.4315m&link_type=abstract
Physical Review D, vol. 47, Issue 10, pp. 4315-4321
Mathematics
Logic
12
Scientific paper
We address the generality of an inflationary scenario in initially expanding Kantowski-Sachs spacetimes with a positive cosmological constant Λ. From a qualitative analysis of the Einstein equations, we investigate the initial conditions that induce an evolution towards the de Sitter solution. It is shown that the majority of the Kantowski-Sachs universes asymptotically approach a de Sitter stage. A zero-probability class of solutions which recollapse constitutes the exception. Thus, we conclude that the cosmic no-hair conjecture is widely valid in these Kantowski-Sachs cosmologies.
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