Relationship between (2+1) and 3+1)--Friedmann--Robertson--Walker cosmologies

Abstract

In this work we establish the correspondence between solutions to the Friedmann--Robertson--Walker cosmologies for perfect fluid and scalar field sources, where both ones fulfill state equations of the form $p+\rho =\gamma f(\rho )$, not necessarily linear ones. Such state equations are of common use in the case of matter--fluids, nevertheless, for a scalar field, they introduce relationships on the potential and kinetic scalar field energies which restrict the set of solutions. A theorem on this respect is demonstrated: From any given (3+1)--cosmological solution, obeying the quoted state equations, one can derive its (2+1)--cosmological counterpart or vice-versa. Some applications are given.

arXiv comment5 pages, Latex, accepted in Phys. Rev. D

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• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
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• Quintessential inflation
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Cited by in corpus (4)

• Cosmology in three dimensions: steps towards the general solution
• Decoupling of the general scalar field mode and the solution space for Bianchi type I and V cosmologies coupled to perfect fluid sources
• Loop quantum cosmology in 2+1 dimension
• 2+1 dimensional loop quantum cosmology of Bianchi I models