On the linear instability of the Ellis-Bronnikov-Morris-Thorne wormhole

Abstract

We consider the wormhole of Ellis, Bronnikov, Morris and Thorne (EBMT), arising from Einstein's equations in presence of a phantom scalar field. In this paper we propose a simplified derivation of the linear instability of this system, making comparisons with previous works on this subject (and generalizations) by Gonzalez, Guzman, Sarbach, Bronnikov, Fabris and Zhidenko.

In comparison with version v2, some additional references have been added and commented. This is a pre-print of the article published in General Relativity and Gravitation. The published article is available online at https://doi.org/10.1007/s10714-019-2501-x

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• Static spacetimes haunted by a phantom scalar field: classification and global structure in the massless case
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• Regularising the JNW and JMN naked singularities
• Quasinormal modes of rapidly rotating Ellis-Bronnikov wormholes
• Static spacetimes haunted by a phantom scalar field III: asymptotically (A)dS solutions
• Are slowly rotating Ellis-Bronnikov wormholes stable?
• Novel traversable wormhole in General Relativity and Einstein-Scalar-Gauss-Bonnet theory supported by nonlinear electrodynamics
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• High energy particle collisions in static, spherically symmetric black-hole-like wormholes
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• Gravitational perturbations in the Newman-Penrose formalism: Applications to wormholes
• Matter traveling through a wormhole
• Radial perturbations of Ellis-Bronnikov wormholes in slow rotation up to second order
• Quadrupole perturbations of slowly spinning Ellis-Bronnikov wormholes
• Dynamical wormholes
• Radial perturbations of charged wormholes