2005/11/30 by Francisco S. N. Lobo
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.73.064028
published as Phys.Rev. D73 (2006) 064028 · 9 pages, 2 figures, Revtex4. V2: Considerable comments and references added, now 10 pages
arxiv created 2006/03/11 · openalex publication_date 2006/03/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 pch=\ensuremath-A/\ensuremathρch^\ensuremathα, where A is a positive constant and 0<\ensuremathα\ensuremath≤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\ensuremathπr02)^\ensuremath-(1+\ensuremathα), where r0 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.