Coincident f (Q) gravity: black holes, regular black holes, and black bounces

In this paper, we will use the coincident gauge to investigate new solutions of the f (Q) theory applied in the context of black holes, regular black holes, and the black-bounce spacetime. For each of these approaches, we com-pute the linear solutions and the solutions with the constraint that the non-metricity scalar is zero. We also analyze the geodesics of each solution to interpret whether the space-time is extensible or not, find the Kretschmann scalar to determine the regularity along spacetime, and in the con -text of regular black holes and black-bounce, we calculate the energy conditions. In the latter black-bounce case we realize that the null energy condition (NEC), specifically the NEC1 = WEC1 = SEC1 ? ? + p(r )= 0, is satisfied outside the event horizon.