From: LARRY KLAES (ljk4_at_msn.com)
Date: Fri Jun 03 2005 - 20:46:57 PDT
Paper (*cross-listing*): gr-qc/0506001
Date: Tue, 31 May 2005 22:23:46 GMT (27kb)
Title: Stability of phantom wormholes
Authors: Francisco S. N. Lobo
Comments: 9 pages, 9 figures, Revtex4
\\
It has recently been shown that traversable wormholes may be supported by
phantom energy. In this work phantom wormhole geometries are modelled by
matching an interior traversable wormhole solution, governed by the equation
of
state $p=\omega \rho$ with $\omega<-1$, to an exterior vacuum spacetime at a
finite junction interface. The stability analysis of these phantom wormholes
to
linearized spherically symmetric perturbations about static equilibrium
solutions is carried out. A master equation dictating the stability regions
is
deduced, and by separating the cases of a positive and a negative surface
energy density, it is found that the respective stable equilibrium
configurations may be increased by strategically varying the wormhole throat
radius. The first model considered, in the absence of a thin shell, is that
of
an asymptotically flat phantom wormhole spacetime. The second model
constructed
is that of an isotropic pressure phantom wormhole, which is of particular
interest, as the notion of phantom energy is that of a spatially homogeneous
cosmic fluid, although it may be extended to inhomogeneous spherically
symmetric spacetimes.
\\ ( http://arXiv.org/abs/gr-qc/0506001 , 27kb)
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