Structure of Ensemble of Cosmological Models with Dark Energy

Details Structure of Ensemble of Cosmological Models with Dark Energy Structure of Ensemble of Cosmological Models with Dark Energy

Jun 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aipc..839..184s&link_type=abstract

COMPUTING ANTICIPATORY SYSTEMS: CASYS'05 - Seventh International Conference. AIP Conference Proceedings, Volume 839, pp. 184-19

Mathematics

Logic

1

Particle-Theory And Field-Theory Models Of The Early Universe, Dark Energy

Scientific paper

We show that all cosmological models which offer the explanation of the present acceleration of the Universe can be represented in terms of a fictitious particle moving in a one-dimensional potential parameterized by the scale factor or redshift. On the other hand this potential function can be reconstructed from SNIa data. From the potential function we can reconstruct the phase portraits and find that only models which are topologically equivalent to the ΛCDM model seems to be realistic models of the accelerating universe. We define the ensemble of dark energy models as a subspace of planar dynamical systems. We demonstrate that the ensemble can be structuralized by introducing the Sobolev metric. Then we obtain the Banach space structure of the ensemble. We investigate this ensemble in the context of the generic universe.

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