SETI public: Stability of phantom wormholes

From: LARRY KLAES (ljk4_at_msn.com)
Date: Fri Jun 03 2005 - 20:46:57 PDT

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    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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