Formation of Bound States of scalar fields in AdS-asymptotic Wormholes

Abstract

We use the Wentzel-Kramers-Brillouin (WKB) approximation to study the formation and propagation of bound states in the vicinity of a wormhole in the non-minimal derivative coupling theory of gravity. The wormhole throat connects two Anti-de Sitter spacetimes. We show that when the scalar field lies in high orbital states, the corresponding potential has potential barriers that block the passage of a classical field. We investigate the behaviour of the bound states trapped in the potential wells and provide the flow between the two AdS regions.

22 pages, 10 figures, References updated, Minor changes

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Cited by in corpus (5)

• $f(\mathsf{R})$ Gravity Wormholes sourced by a Phantom Scalar Field
• Ellis Wormholes in Anti-De Sitter Space
• Disformal Transition of a Black Hole to a Wormhole in Scalar-Tensor Horndeski Theory
• Stability of black holes with non-minimally coupled scalar hair to the Einstein tensor
• On the uplift of 4D wormholes in Braneworld models and their 5D structure