Relation between circular photon orbits and the stability of wormholes with the thin shell of a barotropic fluid
General Relativity and Quantum Cosmology
2024-01-30 v2
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.
Cite
@article{arxiv.2305.07256,
title = {Relation between circular photon orbits and the stability of wormholes with the thin shell of a barotropic fluid},
author = {Naoki Tsukamoto and Takafumi Kokubu},
journal= {arXiv preprint arXiv:2305.07256},
year = {2024}
}
Comments
8 papes, 2 figures, accepted for publication in Physical Review D