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

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

2003-09-09

arxiv.org/abs/hep-th/0309098v1

Phys.Rev. D68 (2003) 124022

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, Latex, accepted in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.68.124022

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.

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