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

TL;DR

This paper presents exact solutions to Einstein's equations for models with a barotropic equation of state, describing either wormholes supported by phantom energy or galactic rotation curves, highlighting the utility of exact solutions in cosmology.

Contribution

It provides new exact solutions for Einstein's equations with a barotropic fluid, covering anisotropic wormholes and galactic rotation models, expanding the understanding of such cosmological structures.

Findings

Anisotropic wormhole models supported by phantom energy for <-1

Galactic rotation curve models for >0

Demonstrates the usefulness of exact solutions in cosmology

Abstract

An exact solution of the Einstein field equations given the barotropic equation of state $p=\omega\rho$ yields two possible models: (1) if $\omega <-1$, we obtain the most general possible anisotropic model for wormholes supported by phantom energy and (2) if $\omega >0$, 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.