Transmission of low-energy scalar waves through a traversable wormhole

Abstract

We study the scattering of low-energy massless and massive minimally coupled scalar fields by an asymptotically flat traversable wormhole. We provide a comprehensive treatment of this problem offering analytic expressions for the transmission and reflection amplitudes of the corresponding effective potential and the absorption cross section of the wormhole. Our results, which are based on a recently developed dynamical formulation of time-independent scattering theory, apply to a large class of wormhole spacetimes including a wormhole with a sharp transition, the Ellis wormhole, and a family of its generalizations.

arXiv comment21 pages, 3 figures, references added, accepted for publication in European Physical Journal C

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Cited by in corpus (8)

• Transition from Regular Black Holes to Wormholes in Covariant Effective Quantum Gravity: Scattering, Quasinormal Modes, and Hawking Radiation
• Polar modes and isospectrality of Ellis-Bronnikov wormholes
• Are slowly rotating Ellis-Bronnikov wormholes stable?
• A Unified Spectral Approach for Quasinormal Modes of Morris-Thorne Wormholes
• f(R) wormholes embedded in a pseudo--Euclidean space $E^5$
• Instability Analysis of Massive Static Phantom Wormholes via the Spectral Method
• Dynamical formulation of low-energy scattering in one dimension
• Radial perturbations of Ellis-Bronnikov wormholes in slow rotation up to second order