Computational aspects of weakly cyclic <i>P</i> -symmetric spacetime under semi-symmetric metric connection

Purpose The primary objective of this article is to study weakly cyclic contracted space-matter tensor under the influence of semi-symmetric metric connection through computational procedure. An important observation regarding spacetime anomalies is obtained in this article. Design/methodology/approach Applying the Frobenius method, non-linear differential equation has been solved through numerical simulation. Findings The study presents the following findings: (1) The observation signifies the existence of high-level energy (or black hole) in the era of cosmological theory. The SSMC developed here can be taken into account, which is the futuristic scope of the present study, for various cosmological models to examine in the context of different energy conditions. (2) Spacetime anomalies are shifted towards the increasing direction of x1. Originality/value The study has been developed newly with the help of a new approach involving numerical simulation.