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.
Trajectories of photons around a rotating black hole with unusual asymptotics
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abstract
Most black hole solutions are characterized with asymptotically flat, or asymptotically (anti) de-Sitter behaviors, but some black holes with unusual asymptotics have also been constructed, which is believed to provide remarkable insights into our understanding of the nature of gravity. In this paper, focusing on a rotating black hole with unusual asymptotics in Einstein-Maxwell-dilaton (EMD) theory, we innovatively analyze the photons' trajectories around this black hole background, showing that the unusual asymptotics has significant influences on the photons' trajectories. We expect that our analysis could give more insights in the scenario of black holes' shadow and image.
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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.