Magnetic wormholes and black universes with invisible ghosts

Abstract

We construct explicit examples of globally regular static, spherically symmetric solutions in general relativity with scalar and electromagnetic fields describing traversable wormholes with flat and AdS asymptotics and regular black holes, in particular, black universes. (A black universe is a regular black hole with an expanding, asymptotically isotropic space-time beyond the horizon.) The existence of such objects requires invoking scalars with negative kinetic energy ("phantoms", or "ghosts"), which are not observed under usual physical conditions. To account for that, the so-called "trapped ghosts" were previously introduced, i.e., scalars whose kinetic energy is only negative in a restricted strong-field region of space-time and positive outside it. This approach leads to certain problems, including instability (as is illustrated here by derivation of an effective potential for spherical pertubations of such systems). In this paper, we use for model construction what we call "invisible ghosts", i.e., phantom scalar fields sufficiently rapidly decaying in the weak-field region. The resulting configurations contain different numbers of Killing horizons, from zero to four.

9 pages, 5 figures

References in corpus (6)

• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• Regular black holes and black universes
• Example of a stable wormhole in general relativity
• Can primordial magnetic fields seeded by electroweak strings cause an alignment of quasar axes on cosmological scales?
• Cylindrically and axially symmetric wormholes. Throats in vacuum?
• Electrically charged and neutral wormhole instability in scalar-tensor gravity

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