Abstract
We overview the fundamental roles of the de Sitter vacuum in cosmology where it is responsible for powering the early inflationary stage(s) and the present accelerated expansion, in black hole physics where it provides the existence of a wide class of regular black holes and self-gravitating solitons replacing naked singularities, and in particle physics where it ensures the intrinsic relation of the Higgs mechanism with gravity and spacetime symmetry breaking.
Highlights
Which arrow does fly forever?An arrow which hits the goal
Solutions of this class represent compact objects with the de Sitter vacuum interiors: regular black holes and self-gravitating solitons replacing naked singularities: G-lumps, described by the Einstein equations [29,30], and electromagnetic solitons, described by the nonlinear electrodynamics minimally coupled to gravity [31]
In [64] we presented a review of the literature on baby universes, and estimations of the probability of baby universes arising in the future of a regular black hole with the de Sitter vacuum interior in some of its RC regions
Summary
Its evolution between different values is provided by the intrinsic anisotropy of Tki , it cannot be described by the isotropic FLRW cosmological models and requires applying the cosmological models of the Lemaître class for anisotropic and inhomogeneous perfect fluid (for a review [28]) Solutions of this class represent compact objects with the de Sitter vacuum interiors: regular black holes and self-gravitating solitons replacing naked singularities: G-lumps, described by the Einstein equations [29,30], and electromagnetic solitons, described by the nonlinear electrodynamics minimally coupled to gravity [31].
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