The Critical Dimension for Chaotic Cosmology
Aug, 19861 page
Published in:
- Nucl.Phys.B 283 (1987) 657-668,
- Nucl.Phys.B 291 (1987) 876 (erratum)
- Published: 1987
DOI:
Report number:
- FERMILAB-PUB-86-121-A
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Abstract: (Elsevier)
Using the ADM formalism for general relativity the approach to a space-time singularity of a general inhomogeneous universe, in an arbitrary number of dimensions, is studied. The question of whether chaotic behaviour is a generic feature of Einstein's equations, in an arbitrary number of dimensions, is explored. We find that models that contain ten or more spatial dimensions are non-chaotic and their approach toward the initial singularity is monotonic, whereas for those with dimensionality between four and nine their approach is chaotic. A clear geometrical picture is constructed whereby this result can be understood.- general relativity
- GRAVITATION: HIGHER-DIMENSIONAL
- GRAVITATION: TEN-DIMENSIONAL
- Einstein equation
- GRAVITATION: CRITICAL PHENOMENA
- ASTROPHYSICS: CHAOTIC BEHAVIOR
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