Models with curvature and quantum corrections in astrophysics

For the nonlocal gravity model, a new solution of the rotating black hole (BH) type was obtained using the Newman-Janis algorithm. It was shown how it is possible to take into account quantum gravitational corrections for modeling black hole shadows using rotating metrics in a model-independent approach. This approach will be effective in the future, as the accuracy of observations increases, since in this case a theoretical justification of new results is required. It is shown that it is possible to take into account various field corrections instead of introducing new fields and/or expansions in curvature.