Rotating regular black holes in conformal massive gravity.

In this paper, we use a suitable conformal rescaling to construct static and rotating regular black holes in conformal massive gravity. The new metric is characterized by the mass M, the "scalar charge" Q, the angular momentum parameter a, the "hair parameter" λ, and the conformal scale factor encoded in the parameter L. We explore the shadow images and the deflection angles of relativistic massive particles in the spacetime geometry of a rotating regular black hole. For λ≠0 and Q>0, the shadow is larger than the shadow of a Kerr black hole. In particular, if λ<0, the shadow radius increases considerably. For λ≠0 and Q<0, the shadow is smaller than the shadow of a Kerr black hole. Additionally, we put observational constraints on the parameter Q using the latest Event Horizon Telescope observation of the supermassive black hole M87*. Lastly, using the Gauss-Bonnet theorem, we show that the deflection angle of massive particles is strongly affected by the parameter L. The deflection angle might be used to distinguish rotating regular black holes from rotating singular black holes. [ABSTRACT FROM AUTHOR]