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Circular light orbits of a general, static, and spherical symmetrical wormhole with $Z_2$ symmetry

Naoki Tsukamoto
Feb 2024
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摘要原文
A general asymptotically-flat, static, and spherical symmetrical wormhole without a thin shell has at least one unstable circular light orbit at some radius. If the wormhole has $Z_2$ symmetry against the throat, the stable or unstable circular light orbit must be on the throat but this fact is often overlooked. On this paper, we categorize the numbers of the circular light orbits of the $Z_2$-symmetrical wormhole and their stability from the derivatives of an effective potential at the throat and we investigate the circular light orbits around a Reissner-Nordstr\"{o}m black-hole-like wormhole spacetime or a charged Damour-Solodukhin wormhole spacetime as an example.
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