2003/09/09 by A. Garcia, Alberto Garcı́a, M. Cataldo +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #hep-th
paper · pdf · doi:10.1103/physrevd.68.124022
published as Phys.Rev. D68 (2003) 124022 · 5 pages, Latex, accepted in Phys. Rev. D
arxiv created 2003/09/09 · openalex publication_date 2003/12/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this work we establish the correspondence between solutions to the Friedmann-Robertson-Walker cosmologies for perfect fluid and scalar field sources, where both satisfy state equations of the form p+\ensuremathρ=\ensuremathγf(\ensuremathρ), 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 in 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.