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 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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Stability and attractor in a higher-dimensional cosmology. I. / Maeda, Keiichi.
In: Classical and Quantum Gravity, Vol. 3, No. 2, 017, 1986, p. 233-247.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Stability and attractor in a higher-dimensional cosmology. I
AU - Maeda, Keiichi
PY - 1986
Y1 - 1986
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0001094842&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0001094842&partnerID=8YFLogxK
U2 - 10.1088/0264-9381/3/2/017
DO - 10.1088/0264-9381/3/2/017
M3 - Article
AN - SCOPUS:0001094842
VL - 3
SP - 233
EP - 247
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 2
M1 - 017
ER -