The sign of the Herrera complexity factor at a light ring indicates whether that ring is a stable or unstable photon sphere, and zero-complexity compact objects cannot host external photon spheres.
Strong field lensing by Damour-Solodukhin wormhole
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abstract
We investigate the strong field lensing observables for the Damour-Solodukhin wormhole and examine how small the values of the deviation parameter $\lambda $ need be for reproducing the observables for the Schwarzschild black hole. While the extremely tiny values of $\lambda$ indicated by the matter accretion or Hawking evaporation are not disputed, it turns out that $\lambda $ could actually assume values considerably higher than those tiny values and still reproduce black hole lensing signatures. The lensing observations thus provide a surprising counterexample to the intuitive expectation that all experiments ought to lead to the mimicking of black holes for the same range of values of $\lambda$.
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Herrera Complexity and Shadows of Spherically Symmetric Compact Objects
The sign of the Herrera complexity factor at a light ring indicates whether that ring is a stable or unstable photon sphere, and zero-complexity compact objects cannot host external photon spheres.