Characterization of general relativistic spacetime equipped with η-Ricci-Bourguignon soliton

Abstract

In this article, we study some characterization of general relativistic spacetime obeying an η-Ricci-Bourguignon soliton admitting torse forming potential vector field. Also, we have discussed some enactment of the soliton when the spacetime equipped with semi-symmetric energy-momentum tensor in terms of η-Ricci-Bourguignon soliton, whose potential vector field is torse-forming. Besides, we investigate certain curvature conditions on the spacetime that admits an η-Ricci-Bourguignon soliton. Next, we have given some physical phenomenon with the connection of dust fluid, dark fluid and radiation era in general relativistic spacetime admitting an η-Ricci-Bourguignon soliton. Lastly, we describe a harmonic feature of η-Ricci-Bourguignon soliton on a general relativistic spacetime.