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Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis

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arxiv 0806.0608 v2 pith:3E6NKGP2 submitted 2008-06-03 gr-qc

J.A. Gonzalez , F.S. Guzman , O. Sarbach This is my paper · ORCID
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keywords fieldlinearsolutionsghostscalarstabilitythroattime
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We examine the linear stability of static, spherically symmetric wormhole solutions of Einstein's field equations coupled to a massless ghost scalar field. These solutions are parametrized by the areal radius of their throat and the product of the masses at their asymptotically flat ends. We prove that all these solutions are unstable with respect to linear fluctuations and possess precisely one unstable, exponentially in time growing mode. The associated time scale is shown to be of the order of the wormhole throat divided by the speed of light. The nonlinear evolution is analyzed in a subsequent article.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the stability of exceptional Brans-Dicke wormholes

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Charged exceptional Brans-Dicke wormholes with omega = 0 are stable against radial perturbations; neutral ones are unstable.

  2. Dynamical evolution and stability of quantum corrected Schwarzschild black holes in semiclassical gravity

    gr-qc 2025-06 conditional novelty 6.0 of 10

    The static quantum corrected Schwarzschild wormhole is dynamically unstable: it expands in vacuum and collapses into an evaporating black hole when a small amount of matter is present.

  3. Nonlinear electrodynamics and stability of spherically symmetric space-times in scalar-tensor gravity

    gr-qc 2026-07 accept novelty 5.0 of 10

    For NED with Maxwell weak-field limit, monopole stability of STT solutions with F=0 is identical to Maxwell-STT, and the zero-charge limit of V_eff erases all NED traces.

  4. Late-Time Cosmology and Structure Formation in Quadratic $f(Q)$ Gravity

    physics.gen-ph 2026-06 unverdicted novelty 4.0 of 10

    Quadratic f(Q) gravity adds an H^4 term to the Friedmann equation and introduces a time-dependent G_eff that suppresses linear growth and halo abundance, offering a modified-gravity route to easing the S8 tension.

  5. Ellis-Bronnikov Wormhole Shadows with Spherically Symmetric Accretion Flow

    gr-qc 2026-06 unverdicted novelty 4.0 of 10

    GRRT simulations of spherically symmetric accretion show the Ellis-Bronnikov wormhole yields brighter shadow and photon ring than Schwarzschild, both consistent with EHT M87* data.

  6. Einstein-Maxwell-Dilaton Wormholes that meet the Energy Conditions

    gr-qc 2025-02 reject novelty 4.0 of 10

    This paper presents two new exact rotating wormhole solutions and finds that the first family can satisfy the null energy condition with a dilatonic scalar field.

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