Uniqueness of the Friedmann-Lemaître-Robertson-Walker universes

Details Uniqueness of the Friedmann-Lemaître-Robertson-Walker universes Uniqueness of the Friedmann-Lemaître-Robertson-Walker universes

Oct 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phrvd..30.1839m&link_type=abstract

Physical Review D (Particles and Fields), Volume 30, Issue 8, 15 October 1984, pp.1839-1842

Physics

11

Scientific paper

We consider spacetimes with a perfect fluid distribution characterized by the energy density μ, pressure p, charge density ζ, and an equation of state p=p(μ), or p≡0. It is shown that the only nonstatic isotropic solution of the Einstein-Maxwell equations where the contraction or expansion of the matter is shear free and the equation of state is physically reasonable is the Friedmann-Lemaître-Robertson-Walker class of solutions. Moreover, this conclusion holds for neutral matter even when the assumption of isotropy is replaced by the weaker hypothesis of irrotational motion.

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