General Relativistic Space-Time with η1-Einstein Metrics

The present research paper consists of the study an η1-Einstein soliton in general relativistic space-time with a torse-forming potential vector field. Besides this, we try to evaluate characterization metrics when semi-symmetric energy-momentum tensor admits soliton, whose field is torse-forming. In adition, certain curvature conditions on that admit are explored and build up importance Laplace equation terms soliton. Lastly, have given some physical accomplishment connection dust fluid, dark fluid radiation era admitting