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.
Axially symmetric solutions in f(R)-gravity
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Axially symmetric solutions for f (R)-gravity can be derived starting from exact spherically sym- metric solutions achieved by Noether symmetries. The method takes advantage of a complex coordi- nate transformation previously developed by Newman and Janis in General Relativity. An example is worked out to show the general validity of the approach. The physical properties of the solution are also considered.
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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.