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Chaplygin traversable wormholes

Paper (*cross-listing*): gr-qc/0511003
Date: Tue, 1 Nov 2005 15:03:16 GMT (21kb)

Title: Chaplygin traversable wormholes

Authors: Francisco S. N. Lobo

Comments: 9 pages, 2 figures, Revtex4
\\
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 $p_{ch}=-A/\rho_{ch}^{\alpha}$, where $A$ is a positive constant and
$0<\alpha \leq 1$. 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
$A<(8\pi r_0^2)^{-(1+\alpha)}$, 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.

\\ ( http://arXiv.org/abs/gr-qc/0511003 , 21kb)

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