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

By José A González, F. S. Guzmán, O. Sarbach. 2008

157 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Molecular Biology, Oceanography

View Paper: https://www.semanticscholar.org/paper/576a5bd2e445d19fa61fc0d4b9d2b21197151f89

Citations in the corpus

• Testing the nature of dark compact objects: a status report (2019, unknown): “Wormholes 7 X X ∼ [150–153] [154–157] [136,138,148]”
• Tests for the existence of black holes through gravitational wave echoes (2017, unknown): “Wormholes ClePhOs 7 X X ∼ [99–103] [104,105] [106–109] [23,50,55]”