Exactly solvable wormhole and cosmological models with a barotropic equation of state

An exact solution of the Einstein field equations given the barotropic equation of state $p=ωρ$ yields two possible models: (1) if $ω<-1$, we obtain the most general possible anisotropic model for wormholes supported by phantom energy and (2) if $ω>0$, we obtain a model for galactic rotation curves. Here the equation of state represents a perfect fluid which may include dark matter. These results illustrate the power and usefulness of exact solutions.

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