Influence of quantum correction on black hole shadows, photon rings, and lensing rings

We calculate photon sphere r(ph) and critical curve b(c) for a quantum corrected Schwarzschild black hole, finding that they violate universal inequalities proved for asymptotically flat black holes that satisfy the null energy condition in the framework of Einstein gravity. This violation seems to be a common phenomenon when considering quantum modification of Einstein gravity. Furthermore, we study the shadows, lensing rings, and photon rings in the quantum corrected Schwarzschild black hole. The violation leads to a larger bright lensing ring in the observational appearance of the thin disk emission near the black hole compared with the classical Schwarzschild black hole. Our analysis may provide observational evidence for the quantum effect of general relativity.

Automated summary

The study shows that quantum corrected Schwarzschild black holes violate universal inequalities proved for asymptotically flat black holes in the framework of Einstein gravity, and this violation seems to be common when considering quantum modification of Einstein gravity. Due to this violation, the quantum corrected Schwarzschild black hole exhibits a larger bright lensing ring in observations compared to the classical Schwarzschild black hole.