Regular black holes and the stability problem

We compare different types of regular static, spherically symmetric black holes and discuss their particular type, black universes, which contain an expanding, asymptotically de Sitter T-region, able to model the observed Universe; such models exist in the presence of phantom matter. Next, we consider the stability of static self-gravitating scalar fields with different potentials V (φ) in general relativity. Their general feature is that the effective potential for perturbations is singular at a throat (if any) but generically admits regularization, which in turn leads to regular perturbations of the scalar field and the metric. As examples, we consider some particular black-universe models and find a stable family among them. © Rencontres du Vietnam All rights reserved.