Abstract
The stability condition of (the four-dimensional Friedmann universe)*(a compact internal space) (F4*KD) is presented for a class of higher-dimensional theories, in which the effective potential depends only on a scale length of the internal space. The Candelas-Weinberg model (i.e. one-loop quantum correction+a cosmological constant Lambda ), eleven-dimensional supergravity+ Lambda , Einstein-Yang-Mills theory and six-dimensional Einstein-Maxwell theory are classified into this class. It is shown that the F4*KD solution is stable against small perturbations in the above models. The stability against non-linear perturbation is also investigated. The author finds that the stable F4*KD solution is an attractor for a finite range of initial conditions if the proper volume of the universe is increasing with time.
Original language | English |
---|---|
Article number | 017 |
Pages (from-to) | 233-247 |
Number of pages | 15 |
Journal | Classical and Quantum Gravity |
Volume | 3 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1986 Dec 1 |
Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)