Charged black holes in string-inspired gravity: I. Causal structures and responses of the Brans-Dicke field

Abstract

We investigate gravitational collapses of charged black holes in string-inspired gravity models, including dilaton gravity and braneworld model, as well as f(R) gravity and the ghost limit. If we turn on gauge coupling, the causal structures and the responses of the Brans-Dicke field depend on the coupling between the charged matter and the Brans-Dicke field. For Type IIA inspired models, a Cauchy horizon exists, while there is no Cauchy horizon for Type I or Heterotic inspired models. For Type IIA inspired models, the no-hair theorem is satisfied asymptotically, while it is biased to the weak coupling limit for Type I or Heterotic inspired models. Apart from string theory, we find that in the ghost limit, a gravitational collapse can induce inflation by itself and create one-way traversable wormholes without the need of other special initial conditions.

45 pages, 22 figures

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• Extended phase space thermodynamics and $P-V$ criticality of charged black holes in Brans-Dicke theory
• Mass inflation in Eddington-inspired Born-Infeld black holes: analytical scaling solutions
• Dark sector impact on gravitational collapse of an electrically charged scalar field
• Analytical Study of a Kerr-Sen Black Hole and a Charged Massive Scalar Field
• Scalar field as a time variable during gravitational evolution
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• Gravitational collapse involving electric charge in the decoupling limit of the dilatonic Gauss--Bonnet gravity