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arXiv · 2305.07256

Relation between circular photon orbits and the stability of wormholes with the thin shell of a barotropic fluid

Naoki Tsukamoto·Takafumi Kokubu
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Abstract

We cut a general, static, spherically symmetric spacetime and paste its copy to make a wormhole with a thin shell of any barotropic fluid in general relativity. We show that the stability of the thin-shell wormhole is characterized by a set of circular photon orbits called an (anti)photon sphere in the original spacetime if a momentum flux passing through a throat is prohibited. Our result will be useful to classify the stability of the thin shell on the throat against linearized spherically symmetric perturbations.

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Naoki Tsukamoto, Takafumi Kokubu. 2023-05-12. Relation between circular photon orbits and the stability of wormholes with the thin shell of a barotropic fluid. https://doi.org/10.1103/physrevd.109.024047

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