The stability of thin-shell wormholes with a phantom-like equation of state

preprint2016arXivOpen access

Abstract

This paper discusses the stability to linearized radial perturbations of spherically symmetric thin-shell wormholes with a "phantom-like" equation of state for the exotic matter at the throat: P=ωσP=ωσ, ω<0ω<0, where σσ is the energy-density of the shell and PP the surface pressure. This equation is analogous to the generalized Chaplygin-gas equation of state used by E.F. Eiroa. The analysis, which differes from Eiroa's in its basic approach, is carried out for wormholes constructed from the following spacetimes: Schwarzschild, de Sitter and anti de Sitter, Reissner-Nordstrom, and regular charged black-hole spacetimes, as well as from black holes in dilaton and generalized dilaton-axion gravity.

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