Chaplygin traversable wormholes

By Francisco S. N. Lobo. 2005

138 citations recorded by the source corpus.

The generalized Chaplygin gas (GCG) is a candidate for the unification of dark energy and dark matter, and is parametrized by an exotic equation of state given by ${p}_{\mathrm{ch}}=\ensuremath{-}A/{\ensuremath{\rho}}_{\mathrm{ch}}^{\ensuremath{\alpha}}$, where $A$ is a positive constant and $0l\ensuremath{\alpha}\ensuremath{\le}1$. In this paper, exact solutions of spherically symmetric traversable wormholes supported by the GCG are found, possibly arising from a density fluctuation in the GCG cosmological background. To be a solution of a wormhole, the GCG equation of state imposes the following generic restriction $Al(8\ensuremath{\pi}{r}_{0}^{2}{)}^{\ensuremath{-}(1+\ensuremath{\alpha})}$, where ${r}_{0}$ is the wormhole throat radius, consequently violating the null energy condition. The spatial distribution of the exotic GCG is restricted to the throat neighborhood, and the physical properties and characteristics of these Chaplygin wormholes are further analyzed. Four specific solutions are explored in some detail, namely, that of a constant redshift function, a specific choice for the form function, a constant energy density, and finally, isotropic pressure Chaplygin wormhole geometries.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b517f420643c07d186ec9a8c8ce58dfdc7ac8e74

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Citations in the corpus

Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes (2007, methodology): “We refer the reader to [162] for specific examples of Chaplygin wormholes, where the physical properties and characteristics of these geometries were analyzed in detail.”