Stability of phantom wormholes

By Francisco S. N. Lobo. 2005

206 citations recorded by the source corpus.

It has recently been shown that traversable wormholes may be supported by phantom energy. In this work phantom wormhole geometries are modeled 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/537960a9c45603472ad20f6d5dd93c1114b831be

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Citations in the corpus

Stable dark energy stars (2005, background): “In the specific cases that follow, the explicit form of Ω is extremely messy, so that as in [38, 39], we find it more instructive to show the stability regions graphically.”
Stability analysis of dynamic thin shells (2005, methodology): “[27, 29], we find it more instructive to show the stability regions graphically.”
Instability of wormholes supported by a ghost scalar field: I. Linear stability analysis (2008, background): “On the other hand, a class of wormhole solutions which are supported by phantom energy have recently been constructed in [20, 21] and shown to be stable with respect to perturbations inside this class [22].”
Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes (2007, methodology): “The dynamic stability of these phantom wormholes were also analyzed[160], and we refer the reader to [159, 161] for further examples.”