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

Siyao Liu; Yong Wang

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arXiv · 2212.12243

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

Siyao Liu·Yong Wang

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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.

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Siyao Liu, Yong Wang. 2022-12-23. Geometric structures of Morris-Thorne wormhole metric with the semi-symmetric non-metric connections. https://arxiv.org/abs/2212.12243

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