A multidimensional radiation-filled universe.

Details A multidimensional radiation-filled universe. A multidimensional radiation-filled universe.

Dec 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gregr..19.1267t&link_type=abstract

General Relativity and Gravitation, Volume 19, Issue 12, pp.1267-1276

Physics

3

Cosmology:Supergravity, Supergravity:Cosmology

Scientific paper

We consider a radiation-filled universe which possesses the product symmetry: (N-dimensional space of constant curvature) × (n sphere). The solutions of all the types, within this class, to the classical field equations are given. In the case of theN-dimensional space of zero or negative curvature constant, the solutions exhibit a tendency to approach asymptotically the Kasner-like state in which theN-dimensional subspace expands while then sphere shrinks to the final singularity. Our conclusions based on the phase-diagram method are in agreement with the results concerning the ℝ N × S n universe calculated by Sahdev with the help of numerical methods.

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