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Trapped Ghosts as Sources for Wormholes and Regular Black Holes. The Stability Problem
(Springer, 2017) Bronnikov, K. A.; Бронников, Кирилл Александрович
The chapter briefly reviews the properties of static, spherically symmetric configurations of general relativity with a minimally coupled scalar field whose kinetic energy is negative in a restricted (strong-field) region of space and positive outside it. This “trapped ghost” concept may in principle explain why no ghosts are observed under usual, weak-field conditions. The configurations considered are wormholes and regular black holes without a center, in particular, black universes (black holes with an expanding cosmology beyond the event horizon). Spherically symmetric perturbations of these objects are considered, and it is stressed that, due to the universal shape of the effective potential near a transition surface from canonical to phantom behavior of the scalar field, such surfaces restrict the possible perturbations and play a stabilizing role.