Electrically charged and neutral wormhole instability in scalar-tensor gravity

Details Electrically charged and neutral wormhole instability in scalar-tensor gravity Electrically charged and neutral wormhole instability in scalar-tensor gravity

2005-09-15

arxiv.org/abs/gr-qc/0509062v1

Grav.Cosmol. 11 (2005) 75-81

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, no figures; gc, cite styles. A talk at the International Conference on Cosmoparticle Physics ``Cosmion-2004'' (Moscow

Scientific paper

We study the stability of static, spherically symmetric, traversable wormholes with or without an electric charge, existing due to conformal continuations in a class of scalar-tensor theories with zero scalar field potential (so that Penney's or Fisher's well-known solutions hold in the Einstein conformal frame). Specific examples of such wormholes are those with nonminimally (e.g., conformally) coupled scalar fields. All boundary conditions for scalar and metric perturbations are taken into account. All such wormholes with zero or small electric charge are shown to be unstable under spherically symmetric perturbations. The instability is proved analytically with the aid of the theory of self-adjoint operators in Hilbert space and is confirmed by numerical computations.

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