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arXiv · 1805.04718

How to tell the shape of a wormhole by its quasinormal modes

R. A. Konoplya
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Abstract

Here we shall show how to reconstruct the shape function of a spherically symmetric traversable Lorenzian wormhole near its throat if one knows high frequency quasinormal modes of the wormhole. The wormhole spacetime is given by the Morris-Thorne ansatz. The solution to the inverse problem via fitting of the parameters within the WKB approach is unique for arbitrary tideless wormholes and some wormholes with non-zero tidal effects, but this is not so for arbitrary wormholes. As examples, we reproduce the near throat geometries of the Bronnikov-Ellis and tideless Morris-Thorne metrics by their quasinormal modes at high multipole numbers $\ell$.

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R. A. Konoplya. 2018-05-12. How to tell the shape of a wormhole by its quasinormal modes. https://doi.org/10.1016/j.physletb.2018.07.025

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