Shadows of rotating black holes in effective quantum gravity

Recently, two new spherically symmetric black hole models with covariance have been proposed in effective quantum gravity. Based on these models, we use the modified Newman–Janis algorithm to generate two rotating quantum-corrected black hole solutions, characterized by three parameters, the mass M , the spin a , and the quantum parameter ζ ζ . To understand the effects of the quantum parameter ζ ζ on these two rotating black holes, we investigate in detail the horizons and static limit surfaces. By constraining the possible range of the parameters, we study the shadows cast by these rotating black holes. The results indicate that for both rotating BHs, the parameter ζ ζ mainly affects the shadow size in the non-extremal case, while it deforms the shadow shape by arising a cuspy edge in the near-extremal case. Through the presence of the cuspy edge in the shadow, we further discuss how to differentiate it from the shadows of other rotating quantum-corrected black holes. Utilizing the Event Horizon Telescope shadow observational results for M87* and Sgr A*, we set the black hole inclination angles to 17∘ 17 ∘ , 50∘ 50 ∘ , and 90∘ 90 ∘ and subsequently calculate the angular diameter of the black hole shadows. Our analysis indicates that in the constrained parameter space for M87* and Sgr A*, the common parameter constraints obtained from the RBH-I are 0.569246M< ζ < 0.924954M 0.569246 M < ζ < 0.924954 M . In contrast, the constraints from the RBH-II are 0< ζ < 3.018M 0 < ζ < 3.018 M .