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Scattering problem of scalar wave in wormhole geometry

Sung-Won Kim
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Abstract

In this paper, we study the scattering problem of the scalar wave in the traversable Lorentzian wormhole geometry. The potentials and Schrödinger-like equations are found in cases of the static uncharged and the charged wormholes. The differential scattering cross sections are determined by the phase shift of the asymptotic wave function in low frequency limit. It is also found that the cross section for charged wormhole is smaller than that for uncharged case by the reduction of the throat size due to the charge effect.

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Sung-Won Kim. 2001-02-17. Scattering problem of scalar wave in wormhole geometry. https://arxiv.org/abs/gr-qc/0102078

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