This article is devoted to the investigation of α-Ricci and conformal α–Ricci solitons in Vaidya spacetime. The main result obtained is that the potential vector field of an α–Ricci soliton or conformal α–Ricci soliton in Vaidya spacetime is homothetic. Moreover, the explicit expressions for potential vector fields are also obtained. We also characterize the Vaidya spacetime admitting gradient α–Ricci or conformal α–Ricci solitons. It turns out that there does not exist any nonconstant generating potential function for gradient α–Ricci solitons as well as gradient conformal α–Ricci solitons. Finally, we completely characterize the space of all homothetic vector fields and in particular Killing vector fields in Vaidya spacetime.
Ghosh et al. (Fri,) studied this question.