No realistic wormholes from ghost-free scalar-tensor phantom dark energy

Details No realistic wormholes from ghost-free scalar-tensor phantom dark energy No realistic wormholes from ghost-free scalar-tensor phantom dark energy

2006-12-05

arxiv.org/abs/gr-qc/0612032v1

JETPLett.85:1-5,2007; PismaZh.Eksp.Teor.Fiz.85:3-8.2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, latex

Scientific paper

10.1134/S0021364007010018

It is proved that no wormholes can be formed in viable scalar-tensor models of dark energy admitting its phantom-like ($w < -1$) behaviour in cosmology, even in the presence of electric or magnetic fields, if the non-minimal coupling function $f(\Phi)$ is everywhere positive and the scalar field $\Phi$ itself is not a ghost. Some special static, spherically symmetric wormhole solutions may exist if $f(\Phi)$ is allowed to reach zero or to become negative, so that the effective gravitational constant becomes negative in some region making the graviton a ghost. If $f$ remains non-negative, such solutions require severe fine tuning and a very peculiar kind of model. If $f < 0$ is allowed, it is argued (and confirmed by previous investigations) that such solutions are generically unstable under non-static perturbations, the instability appearing right near transition surfaces to negative $f$.

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