Electronic Resource
Springer
General relativity and gravitation
19 (1987), S. 1181-1194
ISSN:
1572-9532
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We investigate chaotic behavior in the class of homogeneous multidimensional cosmological models. We argue that insofar as spatial dimensionn=3 is in general distinguished, the dimensionn=10 is a critical one from the point of view of chaotic behavior near the singularity. A spatial dimension of 9 is the highest in which chaotic behavior can take place, a spatial dimension of 10 is the lowest in which chaotic behavior cannot occur near the singularity. We show that this conclusion about critical dimensions in cosmology is valid if we consider terms in energy-momentum tensor originating from low- and high-temperature quantum effects and from a supersymmetric field in theN=1,d=11 version of supergravity.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00759097
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