riemann solitons properties on morris-thorne wormhole spacetime

The aim of this paper is to study the geometry of wormholes (wh) based on the curvatures accepted by this spacetime. in this paper, we investigate the curvature properties of morris-thorne wormholes using the concepts of almost riemann solitons and almost riemann gradient solitons, which lead to the solution of the einstein field equations by considering the tachibana tensor obtained from the energy-momentum tensor of the wormhole. this tensor satisfies some quasi-symmetric conditions and is consistent with weyl and riemann. a morris-thorne wormhole is a spherically symmetric solution of the einstein field equations with the cosmological constant. it is known that such a spacetime has several types of symmetries, such as generalized ricci pseudosymmetry, generalized ricci image pseudosymmetry, pseudosymmetry due to weyl symmetric curvature, semisymmetry due to harmonic curvature, etc. also, it is an einstein manifold and a special quasi-einstein manifold.