Exactly solvable wormhole and cosmological models with a barotropic equation of state
Abstract
An exact solution of the Einstein field equations given the barotropic equation of state p=ω 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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