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Gravitational lensing in spherically symmetric static spacetimes with centrifugal force reversal
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abstract
In Schwarzschild spacetime the value $r=3m$ of the radius coordinate is characterized by three different properties: (a) there is a ``light sphere'', (b) there is ``centrifugal force reversal'', (c) it is the upper limiting radius for a non-transparent Schwarschild source to act as a gravitational lens that produces infinitely many images. In this paper we prove a theorem to the effect that these three properties are intimately related in {\em any} spherically symmetric static spacetime. We illustrate the general results with some examples including black-hole spacetimes and Morris-Thorne wormholes.
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Probing Lorentz Symmetry Violation through Lensing Observables of Rotating Black Holes
A rotating Bumblebee black hole is shown to produce strong-lensing observables that deviate from Kerr, with EHT shadow data and an Einstein ring observation used to constrain the Lorentz-violating parameter ell.
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