In F(R) gravity, the black hole shadow shift is controlled by a free perturbing function, so matching the M87* and Sgr A* shadow sizes reduces to fitting that function.
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Black holes and their shadows in $F(R)$ gravity
In F(R) gravity, the black hole shadow shift is controlled by a free perturbing function, so matching the M87* and Sgr A* shadow sizes reduces to fitting that function.