Characterization of Ricci Almost Soliton on Lorentzian Manifolds

Ricci solitons (RS) have an extensive background in modern physics and are extensively used cosmology general relativity. The focus of this work is to investigate almost (RAS) on Lorentzian manifolds with a special metric connection called semi-symmetric u-connection (SSM-connection). First, we show that any quasi-Einstein manifold having SSM-connection, whose RS, Einstein manifold. A similar conclusion also holds for SSM-connection admitting RS soliton vector Z parallel the u. Finally, examine gradient (GRAS) SSM-connection.