Existence of Ricci soliton vector fields on Vaidya spacetime

Abstract

Abstract In this paper, we investigate the behaviour of the Vaidya spacetime admitting a Ricci soliton vector field, where we have found the expressions for the four components of the vector field, and we have shown, under this condition, that the spacetime reduces to the Schwarzschild spacetime. Moreover, we have found the desired expression for the potential function h to satisfy in order for a gradient Ricci soliton vector field to exist on the Vaidya spacetime.