Geometric structures of Morris-Thorne wormhole metric with the semi-symmetric non-metric connections

TL;DR

This paper explores the geometric properties of the Morris-Thorne wormhole metric when extended with semi-symmetric non-metric connections, revealing complex curvature structures and symmetry properties.

Contribution

It introduces the use of semi-symmetric non-metric connections in analyzing Morris-Thorne spacetime, uncovering new geometric and symmetry characteristics.

Findings

Morris-Thorne spacetime is Ricci generalized pseudosymmetric.

It exhibits Ricci generalized projectively pseudosymmetry.

The spacetime is an Einstein manifold of level 2 and 3-quasi-Einstein.

Abstract

Spacetime is a 4-dimensional connected Lorentzian manifold. In this paper, we extend the Levi-Civita connection in the definition of spacetime to the semi-symmetric non-metric connection and conclude geometric structures admitted by the metric (1.1) with the semi-symmetric non-metric connections. Obviously, Morris-Thorne spacetime is Ricci generalized pseudosymmetry, Ricci generalized projectively pseudosymmetry, and has conformal 2-forms that are recurrent, etc. It also is an Einstein manifold of level 2 and 3-quasi-Einstein manifold.